{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "73bd968b-d970-4a05-94ef-4e7abf990827",
   "metadata": {},
   "source": [
    "Chapter 20\n",
    "\n",
    "# 二项式树\n",
    "Book_3《数学要素》 | 鸢尾花书：从加减乘除到机器学习 (第二版)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "258cea8d-6340-4c85-8a4e-2f072e5c03cd",
   "metadata": {},
   "source": [
    "这段代码的核心目的是构建和可视化**二项式树**及其相关的数学特性，包括**二项式系数**和**二项分布概率**。以下从数学角度详细解释代码的功能以及其实现的数学背景。\n",
    "\n",
    "---\n",
    "\n",
    "### 1. **二项式树的构建与可视化**\n",
    "\n",
    "#### 数学背景\n",
    "二项式树是二项分布的图形化表示，用于展示二项试验的可能结果及其层级结构。在每一层中，每个节点代表一次试验的结果，树的层级总数为 $n$（试验次数）。  \n",
    "- 每层 $i$ 包含 $i+1$ 个节点。\n",
    "- 节点之间通过边连接，表示试验结果的传递关系。\n",
    "\n",
    "#### 实现逻辑\n",
    "对于树的每一层：\n",
    "1. 当前层节点的纵坐标为 $y = [-i, -i+2, \\dots, i]$。\n",
    "2. 下一层节点的纵坐标通过平移 $+1$ 和 $-1$ 生成。\n",
    "3. 横坐标 $x$ 依次递增，表示树的层数。\n",
    "\n",
    "图形上：\n",
    "- 每个节点用点标记；\n",
    "- 节点之间的边用线连接，形成二叉树结构。\n",
    "\n",
    "---\n",
    "\n",
    "### 2. **二项式系数的柱状图**\n",
    "\n",
    "#### 数学背景\n",
    "二项式系数是二项式展开公式中各项的系数，其计算公式为：\n",
    "$$\n",
    "C(n, k) = \\binom{n}{k} = \\frac{n!}{k!(n-k)!}, \\quad k = 0, 1, \\dots, n\n",
    "$$\n",
    "- $C(n, k)$ 表示从 $n$ 次试验中选择 $k$ 次成功的可能性。\n",
    "- 二项式系数可以通过 **杨辉三角** 或 **递归关系** 计算。\n",
    "\n",
    "#### 实现逻辑\n",
    "1. 计算二项式系数 $C(n, k)$，对于 $k = 0, 1, \\dots, n$。\n",
    "2. 使用水平柱状图显示系数，每根柱子的高度对应于该项的系数。\n",
    "\n",
    "图形上：\n",
    "- 柱子水平排列；\n",
    "- 在柱子旁标注二项式系数的具体值。\n",
    "\n",
    "---\n",
    "\n",
    "### 3. **二项分布的概率直方图**\n",
    "\n",
    "#### 数学背景\n",
    "二项分布描述了 $n$ 次独立试验中，成功 $k$ 次的概率。其概率质量函数为：\n",
    "$$\n",
    "P(X = k) = \\binom{n}{k} p^k (1-p)^{n-k}, \\quad k = 0, 1, \\dots, n\n",
    "$$\n",
    "其中：\n",
    "- $p$ 是单次试验成功的概率；\n",
    "- $\\binom{n}{k}$ 是二项式系数。\n",
    "\n",
    "#### 实现逻辑\n",
    "1. 根据公式计算每个成功次数 $k$ 的概率 $P(X = k)$。\n",
    "2. 使用水平柱状图显示概率，每根柱子的高度对应于该成功次数的概率。\n",
    "\n",
    "图形上：\n",
    "- 柱子水平排列；\n",
    "- 在柱子旁标注每个概率值，保留小数。\n",
    "\n",
    "---\n",
    "\n",
    "### 4. **实验说明**\n",
    "\n",
    "#### 不同树深度的分析\n",
    "- 在树深度 $n=3, 4, 5$ 的情况下，展示了二项式树结构及其二项式系数。\n",
    "- 随着 $n$ 增加，树的复杂度（节点数量和层级关系）迅速增长。\n",
    "\n",
    "#### 不同概率的分析\n",
    "- 对于固定树深度 $n=5$，考察了 $p=0.5, 0.6, 0.3$ 下的二项分布概率。\n",
    "- 当 $p=0.5$ 时，分布对称；\n",
    "- 当 $p \\neq 0.5$ 时，分布逐渐偏向成功次数较高或较低的方向。\n",
    "\n",
    "---\n",
    "\n",
    "### 5. **整体功能总结**\n",
    "\n",
    "#### 数学目的\n",
    "1. 通过二项式树直观展示二项试验的层级关系；\n",
    "2. 用柱状图定量分析二项式系数的变化规律；\n",
    "3. 用概率直方图展示二项分布在不同成功概率下的特点。\n",
    "\n",
    "#### 可视化价值\n",
    "- 提供了从结构到数值的全方位分析工具；\n",
    "- 将抽象的数学公式转化为直观的图形表示，是理解二项分布的强大辅助工具。\n",
    "\n",
    "#### 应用场景\n",
    "- 二项试验分析；\n",
    "- 概率论和统计学教学；\n",
    "- 对独立重复试验的建模与解释。\n",
    "\n",
    "通过这段代码的执行，可以全面了解二项分布的结构和规律，以及成功概率变化对分布形状的影响。"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2d5e0fab-33b7-4d84-b18c-770551407b8c",
   "metadata": {},
   "source": [
    "## 导入包"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "73682c07-0ca4-4c57-a857-de16a0c5ee3c",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy.special import binom\n",
    "from scipy.stats import binom as binom_dist"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "89278ea5-2643-4c76-84f3-4ce4a033b457",
   "metadata": {},
   "source": [
    "## 绘制二叉树"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "dbe3f428-8aa9-4618-94c9-26bd6c5029dc",
   "metadata": {},
   "outputs": [],
   "source": [
    "def build_binomial_tree(ax, n):\n",
    "    \"\"\"\n",
    "    绘制二项式树\n",
    "    参数:\n",
    "    - ax: 子图对象\n",
    "    - n: 树的层数（试验次数）\n",
    "    \"\"\"\n",
    "    for i in np.arange(n):\n",
    "        Nodes_y = np.linspace(-i, i, i + 1)\n",
    "        B_y = np.concatenate((Nodes_y + 1, Nodes_y - 1))\n",
    "        B_x = np.zeros_like(B_y) + i + 1\n",
    "        A_y = np.concatenate((Nodes_y, Nodes_y))\n",
    "        A_x = np.zeros_like(A_y) + i\n",
    "        x_AB = np.stack((A_x, B_x))\n",
    "        y_AB = np.stack((A_y, B_y))\n",
    "        ax.plot(x_AB, y_AB, 'o-', color='#92D050',\n",
    "                markerfacecolor='#0099FF',\n",
    "                markeredgecolor=None)\n",
    "\n",
    "    ax.spines['right'].set_visible(False)\n",
    "    ax.spines['top'].set_visible(False)\n",
    "    ax.set_xlim(0, n)\n",
    "    ax.set_ylim(-n - 1, n + 1)\n",
    "    ax.set_title(\"Binomial Tree\")\n",
    "    ax.grid(False)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4536a5c6-dd5d-4868-be3c-46ee5be9c21f",
   "metadata": {},
   "source": [
    "## 绘制二项式系数柱状图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "3cd2b5f1-2b22-4edc-94ab-e4662ada4a2f",
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_binomial_coefficients(ax, n):\n",
    "    \"\"\"\n",
    "    绘制二项式系数柱状图\n",
    "    参数:\n",
    "    - ax: 子图对象\n",
    "    - n: 树的层数（试验次数）\n",
    "    \"\"\"\n",
    "    degrees = np.linspace(n, 0, n + 1)\n",
    "    poly_coeffs = binom(n, degrees)\n",
    "    locations = np.linspace(-n, n, n + 1)\n",
    "    ax.barh(locations, poly_coeffs, align='center', color='blue')\n",
    "\n",
    "    for i, (loc, coeff) in enumerate(zip(locations, poly_coeffs)):\n",
    "        ax.text(coeff + poly_coeffs.max() * 0.1, loc, str(int(coeff)))\n",
    "\n",
    "    ax.set_ylim(-n - 1, n + 1)\n",
    "    ax.spines['right'].set_visible(False)\n",
    "    ax.spines['top'].set_visible(False)\n",
    "    ax.set_title(\"Binomial Coefficients\")\n",
    "    ax.grid(False)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5d706e1f-c38e-4537-878a-2fd409501744",
   "metadata": {},
   "source": [
    "## 绘制二项分布的概率直方图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "54140748-3303-4a56-bb22-f6d18b4bd2f6",
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_binomial_probabilities(ax, n, p):\n",
    "    \"\"\"\n",
    "    绘制二项分布的概率直方图\n",
    "    参数:\n",
    "    - ax: 子图对象\n",
    "    - n: 树的层数（试验次数）\n",
    "    - p: 成功的概率\n",
    "    \"\"\"\n",
    "    x = np.arange(0, n + 1)\n",
    "    p_x = binom_dist.pmf(x, n, p)\n",
    "    locations = np.linspace(-n, n, n + 1)\n",
    "    ax.barh(locations, p_x, align='center', color='blue')\n",
    "\n",
    "    for i, (loc, prob) in enumerate(zip(locations, p_x)):\n",
    "        ax.text(prob + p_x.max() * 0.1, loc, f\"{prob:.4f}\")\n",
    "\n",
    "    ax.set_ylim(-n - 1, n + 1)\n",
    "    ax.spines['right'].set_visible(False)\n",
    "    ax.spines['top'].set_visible(False)\n",
    "    ax.set_title(\"Binomial Probabilities\")\n",
    "    ax.grid(False)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e9fe97b9-3400-47f2-bb58-21ae9be0b5ae",
   "metadata": {},
   "source": [
    "## 二叉树路径"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "da9af316-45da-49ee-8429-8d041617cd94",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x500 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "n = 3\n",
    "fig, axes = plt.subplots(1, 2, figsize=(10, 5), gridspec_kw={'width_ratios': [3, 1]})\n",
    "build_binomial_tree(axes[0], n)\n",
    "plot_binomial_coefficients(axes[1], n)\n",
    "plt.tight_layout()\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "482f60a6-db4b-4eb4-a3cc-3937797c59f4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x500 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "n = 4\n",
    "fig, axes = plt.subplots(1, 2, figsize=(10, 5), gridspec_kw={'width_ratios': [3, 1]})\n",
    "build_binomial_tree(axes[0], n)\n",
    "plot_binomial_coefficients(axes[1], n)\n",
    "plt.tight_layout()\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "f960cca8-7fad-4a55-8509-b912b7fea455",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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d3HfffbjnnntgNBrx5je/GT/84Q81RVDWg8PhwM9+9jP8zd/8DZ588kmcP38eNpsNHo8Hb37zmzU9SL/0pS/hta99Lb70pS/h8ccfRzqdhsvlwvXXX3/F6Y9ERKTFz8GVu/vuu3Httdfi7/7u7/Doo49ieHgYJpMJ7e3tePe7340/+ZM/EY9d7nu/44474PF48NnPfhb33HMPQqGQKDR3acG2K7V//35cddVV+Md//Efs378fNpsNu3fvxqc+9alFv8dgMOA73/kOPv/5z+Of/umfsG/fPhiNRrS2tuKGG25YVWba5s2b8bnPfQ6f//znceONN0JRFDz11FN43eteh6qqKnz2s59FMBiE2WzGjh07Fhwf2Mh0qjqvCSsRERERERERrTme+SYiIiIiIiLKMwbfRERERERERHnG4JuIiIiIiIgoz/IefA8ODuKOO+5AbW0t7HY7fD4fXn311Xy/LBERERFR3nCNS0Qrlddq55OTk7j++utx00034fnnn0dDQwPOnj2LqqqqfL4sEREREVHecI1LRKuR12rnn/zkJ/HSSy/hZz/7Wb5egoiIiIhoXXGNS0Srkde08+985zu45ppr8Lu/+7toaGhAd3c3vvzlLy/6+Hg8jpmZGfHf9PQ0xsbGwG5oRERERFQsVrrGBbjOJaI8B9/nzp3DE088ge3bt+MHP/gB/viP/xgf/vCH8fTTT+d8/L59+1BZWSn+q6qqQkNDA0KhUD6nSURERES0bCtd4wJc5xJRntPOzWYzrrnmGvziF78QX/vwhz+MV155BS+//PKCx8fjccTjcfHnmZkZuN1uTE9Po6KiIl/TJCIiIiJatpWucQGuc4kozzvfzc3N2L17t+Zru3btQn9/f87HWywWVFRUaP4jIiIiIiomK13jAlznElGeg+/rr78eJ0+e1Hzt1KlTaGtry+fLEhERERHlDde4RLQaeQ2+P/rRj+KXv/wlPvOZz+DMmTP42te+hieffBIf/OAH8/myRERERER5wzUuEa1GXs98A8Bzzz2HBx98EKdPn8bmzZtx//334+67717W987MzKCyspJnYYiIiIioqFzJGhfgOpeoHOU9+L4SvCgRERER0UbEdS5R+clr2jkRERERERERMfgmIiIiIiIiyjsG30RERERERER5xuCbiIiIiIiIKM8YfBMRERERERHlGYNvIiIiIiIiojxj8E1ERERERESUZwy+iYiIiIiIiPKMwTcRERERERFRnjH4JiIiIiIiIsozBt9EREREREREecbgm4iIiIiIiCjPGHwTERERERER5RmDbyIiIiIiIqI8Y/BNRERERERElGfGQk+AiIiIiKhcVVau3XOp6to9FxGtPe58ExEREREREeUZg28iIiIiIiKiPGPwTURERERERJRnDL6JiIiIiOiyXnzxRdx6661wuVzQ6XR49tlnCz0lopLD4JuIiIiIiC4rHA7D6/Xi7//+7ws9FaKSxWrnRERERER0WW9961vx1re+tdDTICpp3PkmIiIiIiIiyjMG30RERERERER5xuCbiIiIiEpCWlUwIB/BqcmfFXoqREQrxjPfRERERFT0zky9jJ8M7kc0NQoAaK9+Y4FnRES0Mgy+iYiIiKionZl6Gc/3PYYjk9fgheD9CEY8+JC30LMiIloZBt9EREREVLTSqoKfDO7Hkclr8OVTn4TKU5MFIcsyzpw5I/58/vx5+P1+1NTUwOPxFHBmRKWDwTcRERERFa0B+QiiqVG8ELyfgXcBHTx4EDfddJP48/333w8AuPPOO7F///4CzYqotDD4JiIiIqKioaoqphND6A/5xX8AEIxwd7WQbrzxRqiqWuhpEJU0Bt9EREREVFBxJYxA6BD6Q34EZD9mEqMLHuOy9+OCvKMAsyMiWhsMvomIiIhoXaVVBSOR02JneyRyGirSYlyvM8Ll2Am35EOr1IXnLvwf3Ox6hme+iaikMfgmIiIiorybjo+gP9SDftmPgdBhJNIRzXi1pQUepw8eZzdcjt0wG2xi7MaW9yKaegx3t/8NXgj+DoYibQBsICIqJQy+iYiIiGjNJZQIBuTD2d3tXkwnhjTjVoOEVsmbDbi9cJrrF32ubVWvw1vxcdiM+9FZ/WD2q9/K4+yJiNYeg28iIiIiumJpVcFo5Cz65Uwq+XD4pDaVHAY0OXZkg20f6m1boNcZlv3826pehy2V1yIYPo5IcjIfb4GIKK8YfBMRERHRqoQSY9md7R4E5MOIK7JmvMrcDHc22G6VOmE22K/o9fQ6A1qlzit6DiKiQmHwTURERETLklCiGAwfQX+oF/0hP6big5pxs94OtzOTSu6WvKi0NBZopkRExYfBNxERERHlpKppjEXPoy/Ug0DIj6HISaTVlBjXQY8me3t2d9uLRvv2FaWSExGVEwbfRERERCTIiXH0y5md7UCoFzElpBmvMDeKc9ut0h5YDI4CzZSIqLQw+CYiIiIqY8l0HIPyEQSyqeQX4wHNuElvQ6u0Bx6nD21OHyotzQWaKRFRaWPwTURERFRGVDWN8VhftlCaH8HwsQWp5A32bfA4vfBIPjQ62mHQcclIRHSleCUlIiIi2uDCyYvoD/UiEPKjX+5FNDWtGXea6uF2etHm7EartAdWo7NAMyUi2rgYfBMRERFtMKl0HMHw8ezudi8mYhc04ya9FS1SJzxS5ux2lcUFnU5XmMkSEZUJBt9EREREJU5VVUzE+rNF0vwYDB+DoibmPUKHBtsWUSityb4DBr2pYPOlOdPTQEVFoWdBROuBwTcRERFRCYokpxCQD6E/1INAqBfh1KRm3GGqhUfK9tx2dsFmrCzQTImICGDwTURERFQSlHRSpJIH5F6MRc9pxo06cyaVPLu7XW1pZSo5EVERYfBNREREVIRUVcVkfEBUJR8MH0UqHdc8ps66WQTbzY6dMOrNBZotEREthcE3ERERUZGIpmYQCB1CQM4E3HJyQjNuN1ZnWoA5fXBLXthNVYWZKBERrRiDbyIiIqICUdJJDEdOiqrko9GzAFQxbtCZ4HLsFrvbtdY2ppITEZUoBt9ERERE60RVVUwlgugP9aI/1INB+QiS6ZjmMbXWNhFsuxy7YNRbCjRbIiJaSwy+iYiIiPIolpIxIB8SZ7dDyTHNuM1YAXe237bb6YVkqinQTImIKJ8YfBMRERGtIUVNYSRyGv2hnkwqeeQMVKTFuF5nhMuxK7O7LflQZ9sEnU5fwBkTEdF6YPBNREREdIWm40PZVHI/BuTDSKQjmvFqSyvanN1wO71ocXTAZLAWaKZERFQoDL6JiIiIViiuhDEgHxap5DOJEc241SDB7fTBI3nhdvrgNNcVaKZERFQsGHwTERERLSGtKhiNnBHB9nDklDaVHAY0O3ZmAm6nD/W2zdDrDAWcMRERFRsG30REREQ5zCRGRbA9IB9CXAlrxqssLniyhdJapE6YDbYCzZSIiEoBg28iIiIiAAklikH5CPpCPQiE/JhKDGnGLQYH3FKX2N2uMDcUaKZERFSKGHwTERFRWUqrCsai5+ZSycMnkYYixnXQo8nenu253Y0G+1amkhMR0aox+CYiIqKyEUqMz0sl70VMkTXjleambL9tH1qlTlgMjgLNlIiINhoG30RERFQSEkoMLw09jen4ECotzbi++T0wL9GyK6nEMBg+KgLuyfiAZtyst6NV2pPd3fai0tKcz7dARERlbN2C73379uFTn/oU7rvvPnzuc59br5clIiKiDeC58/twZupVGPSZtPCA7Efv2AvYVnU1btn8oHicqqYxFj2P/pAfAdmPYPgE0mpKjOugR6N9mzi33WjfDoOOexF0ZbjOJaLlWJdPm1deeQVPPvkkurq61uPliIiIaAN57vw+nJv+NY5NX4MDwdsRjHjgsvdjr+ub0Ot+jWfPPowd1W9Ef6gXAdmPaGpG8/1OUz08zm54nD60SntgNUoFeie0EXGdS0TLlffgW5Zl/M//+T/x5S9/GY888ki+X46IiIg2kIQSw5mpV3Fs+hp85dSDUKEHAFyQd+Arpx7EXe37kFZ7EJD94ntMeitapT3Z3W0vqswu6HS6Ar0D2si4ziWilch78P3BD34Qb3vb2/DmN795yYtSPB5HPB4Xf56ZmbnMo4mIiGije2noaRj0Cg4EbxeB9ywVehwI3oY91QdhNVSgs/ZmeJw+NNnbYdCbCjRjKidc5xLRSuQ1+P7617+O3/zmN3jllVeW9fh9+/bh4YcfzueUiIiIqASEk5MIyL04N/0yACAY8eR83FCkDQBQbXHhtU3v5g43rRuuc4lopfIWfAcCAdx333144YUXYLVevhLprAcffBD333+/+PPMzAzcbne+pkhERERFIpVOIBg+jkC2Kvl47IJm3GXvxwV5x4Lva7b3AQCGIifw9Ik/hlvy8Ww35R3XuUS0GjpVVdV8PPGzzz6Ld73rXTAYDOJriqJAp9NBr9cjHo9rxnKZmZlBZWUlpqenUVFRkY9pEhERUQGoqoqL8YBoARaUjyKlJjSPqbdtQYt9D14dew7Hprs1Z74BQIc07m7fh12VPTDqVahIzxvTVjVvsrdDr7v8uoNoubjOJaLVyFvwHQqF0NfXp/na+973PuzcuROf+MQn0NnZueRz8KJERES0cURT0wiEDomAO5y6qBl3GKtFsOyWumA3VQGYq3Z+ZOoaHAjehqFIG5rtfdjregadVQexpfJa3Oz5CILhY+gP9WT7eQ9qntust6PVuQee7M54paVpvd42bUBc5xLRauQt7dzpdC648DgcDtTW1i7rgkRERESlTUknMRQ5KQLiseg5zbhBZ0aL1AGP0wuP5EON1ZPzzPYtmx/Ec+f3Ia2+ij3VB+c9vwFbKq8Vfb43VVyNTRVXAwBCiTH0h3rRH/JjQO5FTJFxbvpXODf9KwBApbkpE+Q7fWiVOmExOPL1Y6ANiOtcIlqNdenzTURERBufqqqYjA+Kc9uD4aNIpmOax9RaN2WCbacPLsduGPXmZT33LZsfREKJ4aWhpzEdH0KlpRnXN78HZkPu87ZOcz06at+Mjto3I60qGIueEzvuw+GTmE4M4/DE93F44vvQQY8mxw54nD54JB8a7FuZok5ERGsub2nna4HpOERERMUtlgohIM+lksvJcc24zVgpglq3swsOU02BZjonoUQwIB9Bf8iPQMiPqcSQZtxicMAtdYkU+ApzQ4FmShsZ17lE5YfBNxERES2boqYwHD6V2d2W/RiJnAEwt5Qw6ExwOXbD4/TC7fShztoGnU6/+BMWgen4CAJybzYY70UiHdGMV1lc8Di74XF60eLohNlgK9BMaSPhOpeo/DD4JiIiokWpqorpxJDY2R6QjyCZjmoeU2N1i0JmLqkDJr2lQLO9cmlVwWjkDPqyu+LDkVOaKup6nRHN9h1iV7zBtqXoby5QceI6l6j8MPgmIiIijbgSRiB0CAE5E3DPJEY141ZDhTi37XZ6IZlqCzTT/IsrYQzIh8XNh5nEiGbcanDCnf1ZeCQvJHNdgWZKpYbrXKLyw+CbiIiozKVVBSOR0yLAHImczrHbuzMTYDp9qLdtLtvd3un4EPpEFsDhhVkAFre4KdHi6IBpkYJwRFznEpUfBt9ERERlKHPO2Y++UA8GQocXnHOutrSIVlwtjg6ec85BUVMYCZ9Cv+xHf6gXo5EzC25auBy7RMG5Otumsr1pQQtxnUtUfhh8ExERlYFMhe/Z9OleTC+o8C3BLXWJwmJOc32BZlq6YqmQJkU9lBzTjNuMlfBI3ux5cW9RVH6nwuE6l6j8MPgmIiLagNKqgtHoWU1va82uLAyit7Xb6UWDjb2t15KqqpiKBzM/f9mPQflIjp7nbSKV3+XYBWMJF6qjleM6l6j8MPgmIiLaIEKJMRFsB+RDiCuyZrzK3CyqdLdKnTAb7AWaaflR0kkMR06KzIPR6FloW7SZ0eLYLf5+aq0e6HS6wk2Y8o7rXKLyw+CbiIioRCWUKAbDR9AfyvSonooPasbNejvczkwquVvyotLSWKCZ0qWiqRkEsn9v/XIvwskJzbjdWD1XUV7ywm6qKsxEKW+4ziUqPwy+iYiISoSqpjEWPS92t4ciJ5BWU2JcBz2a7O3iTHGjfTtTyUuAqqqYjA+Iv9dB+QhSakLzmDrrZk2KukFvKtBsaa1wnUtUfhh8ExERFTE5MY5+ObNDGgj1IqaENOMV5oZsUNaNVmkPLAZHgWZKayWVTmAofEIE4+Ox85pxo86MFqlTBOPVllamqJcgrnOJyg+DbyIioiKSTMcRlI+KwOtiPKAZN+ltaJX2iMCr0tzEwGuDiySnEMjegOkP9SKSmtSMO0y18EjezPECZxdsRq6ZSgHXuUTlh8E3ERFRAalqGuOxPhFsB8PHFqSSN9i3Zc7/Sj40Otph0BkLOGMqJFVVMRHrz2ZC+DEYPgZFk6KuQ4Ntqzgv3mTfwRT1IsV1LlH5YfBNRES0zsLJi+gP9SKQLbYVTU1rxiVTndjZdktdsBqdBZopFbtUOo5g+Li4eTMR69OMm/TWTIq6lPl9qrK4mClRJLjOJSo/DL6JiIjyTBsg9WIidkEzzgCJ1oqcvIiAuLHjRzQ1oxl3murFjZ1WqQtWo1SgmRLXuUTlh8E3ERHRGlteavAWEQQxNZjyQVXTGI9eQL88e6ThOI80FJHZdS4wDYDr3GJTvBESlTIG30RERGsgUxTrkAi4w4sWxfJli2JVFmimVK6SSgyD4aOiv/hixfzanN3wOL2otDQXaKblgcF3cSveCIlKGYNvIiKiVVDSSZFKHpB7MRY9pxlnOygqdto2dn7EFFkzXmFunJeizjZ2a43Bd3Er3giJShmDbyIiomVQVRWT8QFR2GowfBSpdFzzmDrrZhGsNDt2wqg3F2i2RCuTVhWMRc+LQHwofAJpKGJcBz2a7O3i97vBvg16naGAMy59DL6LW/FGSFTKGHwTEREtIpqaQSB0CIHsmVk5OaEZtxurRUsnt+SF3VRVmIkSrbGEEsVg+Aj6synqU/FBzbjF4ECr1CWC8QpzQ4FmWroYfBe3fERIDz30EB5++GHN1xobGzE8PLz2L0ZFiVU1iIiIspR0EsORU+gP9aA/1IvR6FkAcyswg86MFsduuLMBR63Vw1Ry2pDMBhs2V7wGmyteAwCYSYyKXfGAfAhxJYyz0y/j7PTLAIAqczPcTh/anN1okTphNtgKOX2iotXR0YEf/vCH4s8GAzNIygmDbyIiKluqqmIqERQ9twfkw0imY5rH1FrbxO6ey7ELRr2lQLMlKpwKcwM6a29GZ+3NSKsKRiNnRRX14fBJTCWGMDUxhMMTz0MPA5ocO8S/m3rbFqaoE2UZjUY0NTUVehpUIAy+iYiorMRSMgayVcn7Q36EkmOacZuxAh7JB7fTB7fTC8lUU6CZEhUnvc6AJkc7mhztuLbxfyCuhDEoHxH/pqYTwwiGjyEYPoZfDn8NVoOE1mylf4/TB6e5rtBvgahgTp8+DZfLBYvFguuuuw6f+cxnsGXLlkJPi9YJz3wTEdGGpqgpjEROi5TZkcgZqEiLcb3OCJdjVyYwkHyos22CTqcv4IyJStt0fChzVlz2YyB0GIl0RDNebWkVgXiLowMmg7VAMy0snvkubvmIkJ5//nlEIhG0t7djZGQEjzzyCE6cOIGjR4+itrZ27V+Qig6DbyIiKnoJJYaXhp7GdHwIlZZmXN/8Hpgvs2AXi/9sKvmli/8aizvbb9tb1ot/onxLq4q4+dUf6lnk5tdOuKXZFPXNl735lUoncHjiB5iJD+OG1rvX4y3kDYPv4rYeEVI4HMbWrVvxwAMP4P7778//C1LBMfgmIqKi9tz5fTgz9SoM+rm2R0ragG1VV+OWzQ8CAOJKGAPykWyhND9mEiOa57AapEyRtGzqq8S0V6KCyBz7OCyC8VzHPjKBuBdup09z7OPnwa/i1dHvQa9LAgA+5P3Wus59rTH4Lm7rFSHt3bsX27ZtwxNPPLE+L0gFxTPfRERUtJ47vw/npn+NY9PX4EDwdgQjHrjs/djr+ib0ul/jn47/CWxGJ4Yjp7S7aTCg2bFTVCWvt21mwSeiImA1SthW9Tpsq3odVFXFdGJInBUfkA8jmprBqakXcWrqRQBArdUDt9OHUHwMZ6ZfxtGpuWvBh7wFfjNEVygej+P48eN44xvfWOip0DrhzjcRERWlhBLD44fuwLHpbnzl1INQMZeKqkMad7Xvw+7KHrEjXmVpyZ4j9aLFwVZHRKVGUVMYDp8Uwfj8Vn9KWo/j01fhy/OuBer7CzjZNcCd7+KWjwjpT//0T3HrrbfC4/FgdHQUjzzyCH7605/i8OHDaGtrW/sXpKLDnW8iIipKPxv8Rxj0Cg4Eb9cE3gCgQo8Dwduwp/ogXI5O7PV8CBXmhgLNlIjWgkFnRIvUgRapA69r/p+IpmYwIB/Gb0aexWjsDF7IcS0gKiUDAwP4gz/4A4yPj6O+vh6vfe1r8ctf/pKBdxlh8E1EREUhrSoYi54Tu17B8DEAQDDiyfn4oUhmsTIePY8Tkz+Bx+lDg20r08uJSpyqqpiKBzPXAtmPsdh5AItfC4hKxde//vVCT4EKjME3EREVTCgxjkDIj76QHwNyL2KKvOAxLns/Lsg7Fny92d4HAEikw/jV8L/iV8P/CotBglvqmtdPuD7v74GIrlwsFcKAfBh9oR4EQr0LCrEBi18LiIhKBYNvIiJaN0klhsHwUbG7PRkf0Iyb9Xa0SnvgcfrQZN+Ffzn5Mex1fTPnme+9rmegpA24seVOBCPHEAgdQlyRcWb6Fzgz/QsAPAdOVKwUNYWR8Cn0y370h3oxmrMF2W54nD64HJ34t9N/lvNaQERUShh8ExFR3qhqGmPR8+gP+RGQ/QiGTyCtpsS4Dno02reJquSN9u0w6OY+mrZVXQ297te4q30fDgRvw1CkDc32Pux1PYPOqoPYUnktfA23wodb5/UT7s32Ez6NqfggpuKDODT+Peh1RjTbd4pd8aX6CRPR2pqKayubJ9NRzXiNxS3+fbqkDpj0FjF2dcPboMOzmmsBwJtpRFRaWO2ciIjWlJy8iEAos5sVkP2IpmY0405TfXaB3Y1WaQ+sRumyz7ecPt+5xJUwAqFDCMj+bO/vUc241eCE25np++2RvOz9TbTG4kp4Xk9vP2YSI5rxlf4bZJ9vWk/FGyFRKWPwTUREVySVjmNQPoZ+2Y9AyI+JWL9m3KS3olXak93d9qLK7IJOp1vRaySUGF4aehrT8SFUWppxffN7YDZYl/39mX7Cw5ffdbO64ZFy77oR0dLmZ58EQn4MR04tSCW/0uyTVDqBwxM/wEx8GDe03r3Wb2FdMfgubsUbIVEpY/BNREQroqoqJmJ9mqrkipqc9wgdGmxbxQK7yd4Og95UsPnmkuknfCqzQy/7MRI5g9l+woD2vKnH6UOdtY0p6kQ5zCRG593UOoS4EtaMs+7C4hh8F7fijZColDH4JiKiJUWSU6IwUiDUi0hqUjMumWrhcfrglnxwO7tgM5bWNTuWCiEgHxJBhJwc14zbjVWZ9FjJB7fTC4epukAzJSqshBIVqeSBkB9TiSHN+PyOA26nFxXmhgLNtPgx+C5uxRshUSlj8E1ERAuk0gkMhU9kg9EejMcuaMaNegtaHJ3wZM9rVltaV5xKXqw0PYZDPRgIH0EqHdc8pta6Sbx3l2MXjExRpw0qrSoYi54TN6aGwyeRxlz9BR30aHLsEFkiDbat0OsMBZxx6WDwXdyKN0KiUsbgm4iIoKoqLsYDc6nk8lGk1ITmMfW2LXBLcwFnsaWS54uSTmIoclLs9I1Gz2rGDTozWhy74Xb60Ob0ocbq2TA3Iqg8hRLj81LJexFTZM14pblZ3HxqlfbAbLAXaKaljcF3cSveCIlKGYNvIqIyFU3NIBDqFYvscOqiZtxhrBYtwNxSF+ymqsJMtMhEU9MIhA7x50YbRlKJYSB8JNulwI/J+KBm3Ky3w+3MppJLXlRamgo0042FwXdxK94IiUoZg28iojKxcAf3HOYXGTPozGiROjI7WhJ3cJeDGQNUilQ1jbHo+cy1QPYjGD6BtJoS4zro0WjfLlLJG+3bmUqeBwy+i1vxRkhUyhh8ExFtUKqqYjI+KHazBsNHkUzHNI/Rnl3eDaPeXKDZbgzas/J+jMfOa8Y38ll5Km5ycmJepksvYsqMZrzC3KApmmgxOAo00/LB4Lu4FW+ERKWMwTcR0QYyv2p3INSLUHJMM24zVmZ2s7ILbIeppkAzLQ/aKvF+RFJTmvFSrxJPxSuZjiMoH8v+/vXgYiygGTfprWiV9ojd7UpzM28ErTMG38WteCMkKmUMvomIShj7VZeO5fdH98Lj7C7K/uhUvFRVxXjsQjbTpTfn71ejfVv2xpsPTY52GHTGgs2XuM4lKkcMvomISoiqqphODM+1wZKPIJmOah5TY3XDI2WCbZfUARPbYBWlVDqOYPi4CMYnYn2a8dmdyUzxNi+qzC7uTJJGODmZSSWXM5kuCzMr6sSNt1ZpDzMrigzXuUTlh8E3EVGRiythBEKHEMimL88kRjTjVoMTbqcXbc5uuJ1eSKbaAs2UroScvCh2LQOyH9GU9kyu01Q/L5DqgtUoFWimVCipdALB8HFRx2E8dkEzbtRb0OrozBxlcPpQbWnhDZsixnUuUflh8E1EVGTSqoKRyGmxIzoSOQ0VaTGu1xnRbN8pArF622amkm8wqprGePRC9ryuH8Hw8RzVqLeJlmaN9u1MId6AVFXFxVi/qBswKB+Fckk1/QbbVvF70GzfwaMKJYTrXKLyw+CbiKgITMdHsjvbfgRCh5BIRzTj1ZYWsZvV4uiA2WAr0EypEJJKDIPho+KGzGR8QDNu1tvnFc/yotLSXKCZ0pVauo98jbjxlinSV1mgmdKV4jqXqPww+CYiKoCEEsGAfFi0/ZlODGnGLQYJbqkLHmc3PE4vnOb6As2UilEoMZ4tspepoh5TZM14pblJ3KxplTrZNqqIKekkhiJz7enGouc040adGS6pQwTcNRY3U8k3CK5zicoPg28ionWQVhWMRs+KPrvD4ZNIQxHjehjQ5NiRDZi8aLBthV5nKOCMqVSkVQVj0fOiCN+lv1s66NFkbxfBW4N9G3+3CkhVVUzGB8W57cHwUSTTMc1j6qybsn9f3Wh27IRRby7QbCmfuM4lKj8MvomI8iSUGBO7WQH5EOILdieb5xXQ6oTZYC/QTGkjSShRDMpHMr97sh9T8aBm3GJwwC11iXPCFeaGAs20fERTM/MyXfyQk+OacbuxSlS1d0teOEzVBZoprSeuc4nKD4NvIqI1klCiGAwfFTtak/FBzbhZb4fb2ZXZ3Za8qLQ0FWimVE5mEqPZWgKzN4HCmvEqi0u0pmuROllPYA0oagrD4VPoD/WgP+THaPQsgLnllkFngsuxW9x8q7W2MZW8DHGdS1R+GHwTEa2Sqqbnpfv6MRQ5saAidZO9XexoNdq3M92XCiqtKhiNnM1Uz57pwXDklLaS/rzjDx5nN+ptm/k7uwyqqmI6MSSuBQPy4QWp5LVWT+ZaIPngknbDpLcUaLZULLjOJSo/DL6JiFZATk6Ic9v9oV7EFG0v5gpzQ3ZnO1OJmIWuqJjFlTAG5CMiW2M6MawZn+0h75G8cDt9cJrrCjTT4hNLySKVPCD7MZMY1YzbjBVwS9lUcqcPkqmmQDOlYsV1LlH5YfBNRHQZyXQcQfmoOD97MRbQjJv0tnktnnyoNDcxfZRK1nR8CP3Zm0sD8uEcLe9axe96i6MDJoO1QDNdf2lVwUjktNjdHomc1mYN6IxwOXbCLfnQ5uxGnW0TdDp9AWdMxY7rXKLyw+CbiGgeVU1jPNYnFtjB8DFNKjmgQ6N9WyYAkXxodLTDoDMWbL5E+aKoKRFsBkJ+jETO5Ag2d4l/Cxsx2JyOD4sbbwMh3oygtcV1LlH5YfBNRGUvnJzMpJLLfgRCvYikpjTjkqlOLLDdUhesRmdhJkpUQPPTrPtDPQglxzTjGyHNOqFENFXJF6bhS9lz20zDpyvHdS5R+WHwTURlJ5WOIxg+Ls5tT8QuaMZNeitapE5RAbrK4mIqOdE8swXG+rK74osVGPM4u+Fx+uBy7IKxCAuMaQrQhfwYDp+8TAE6H+ptW1iAjtYM17lE5YfBNxFteKqq4mKsP7vA7sWgfBSKmpj3CB0abFtE3+Nm+w4Y9KaCzZeo1CjpJIYjp8SOcTG31ppJjGaLJvYgIB9GXJE142y9RuuF61yi8sPgm4iKWkKJ4aWhpzEdH0KlpRnXN78H5mWcq4wkpxCQD4nzquHUpGbcYaqFR/JmUsmdXbAZK/P1FojKTjQ1o0lRl5MTmnG7sRpupxdt2Z73dlPVsp43lorgQODzmImPoMLSiL3u+2A12i/7PQklisHwEVFIbio+qBm3GBxolbqyx0q8qLQ0rui9Eq0W17lE5Sevwfe+ffvwH//xHzhx4gRsNhte//rX49FHH8WOHTuW9f28KBGVt+fO78OZqVdh0Cvia0ragG1VV+OWzQ9qHqukkxiKnEDfTA8Cci/Gouc040adOZNKnt15q7a0MpWcaB2oqorJ+IA45jEYPoJUOq55TJ11s/i32ezYCaPevOB5vnHq4xgKn19wPWh2bMbvtT827/XSGI2eEzfehiInNUUTddCjyd4uXq/Bvo2p5LRiV7rGBbjOJSpHeQ2+3/KWt+D3f//38ZrXvAapVAp/9md/hsOHD+PYsWNwOJbufcuLElH5eu78Ppyb/jWOTF2DA8HbEYx44LL3Y6/rm+isOojNFa/B9a4/vOIFPRGtr9kbZbMp6rlulLmkDvFvt8bixr+dfgAjkTOLXg/qbJvgq78lG3D3IqaENM9ZYW7MPl83WqVOWAxLr0GILudK17gA17lE5Whd087HxsbQ0NCAn/70p3jTm9605ON5USIqTwklhscP3YFj0934yqkHoWKufZEOadzVvg+7K3s0O2BAJpXV4/SK9NHlprISUeEsdUTEqq9EOCWv6Hpg0tvgzqaSe5xeVFqa1+39UHla6RoX4DqXqByta3Pa6elpAEBNTe72I/F4HPH43M7VzMzMusyLiIrLS0NPw6BXcCB4u2ahDQAq9DgQvA17qg8C0M1bYBe2iBMRrY7dVIUd1W/Cjuo35SyOGEtPw6DHktcDs94Bb/3b4HH60GjfDoNuXZc4VOaWWuMCXOcS0ToG36qq4v7778cb3vAGdHZ25nzMvn378PDDD6/XlIioyKiqiqlEEAPyIQBAMOLJ+bihSBsAoNrSgjd7PgTJVLtucySi/NHpdKi1taHW1ob2qjfi/Myr+NngPyKlxpe8HtiMlbiu8fd5A47W3XLWuADXuUS0jmnnH/zgB/G9730PP//5z9Ha2przMbnuCLrdbqbjEG1gsZSMgWzKaX/Ij1ByTIz97dG/wQV5YfGaTdIJ3N8xV3CtxurOtgbqhkvaDVMR9hMmostLpeMIho+La8FErE8zvpzrgdNUD7c4etIFq9G5LnOn8racNS7AdS4RrVPw/aEPfQjPPvssXnzxRWzevHnZ38ezMEQbT1pVRD/gQMiPkcgZqEiLcb3OiEZrOwbCJxc943l3+z7squxBk30TxmLnkLufsBdupw911k3cCSMqQqqqYiLWL9qRBcPHoKjJeY/QocG2FS5bJ14d/+4S14PfwKTXI42U5vsb7dvgkXxwO31ocrQzFZ3W3GrXuADXuUTlKK/Bt6qq+NCHPoRvfetb+MlPfoLt27ev6Pt5USLaGKbjw2I3a0A+jEQ6ohmvsbiz/ba9aHF0wGSwXlLt/DYMRdrQbO/DXtcz6Kw6iC2V1+KWzQ8ilgqJYk39IT/k5Ljmue3GqsxOmJR5foepej3fOhHNkymu1iu6FEQuKa4mmWqzu9Y+uJ1dsBkzn/3fOPXxedXOF14PGu3b8DvbHkFQPob+UA/6ZT8uxgKa5zbpbWiV9ogaEZXmJt6Yo1W70jUuwHUuUTnKa/B977334mtf+xq+/e1va/oeVlZWwmazLfn9vCgRlaa4EsaAfASBbEA8nRjWjFsNEtxOHzxSJj1UMtflfJ6V9PkGZvsJD4rXHcjZfmxTNtD3weXYxfZjRHmkpJOaVPLx2HnNuFFvQYujU3QpqLa0LhoQL7fP9yw5OYFAaC7Qjyna4laZ9mNeEeiz/RitxJWucQGuc4nKUV6D78U+QJ966im8973vXfL7eVEiKg1pVcFo5IxYYA9HTmlTyWFAs2NnJuB2+lBv2wy9zrCs504oMbw09DSm40OotDTj+ub3wGywLut7M/2ET4oU99HoWc24QWdGi9SRWfhLPtRYPdwJI7oCmRtgA+JaMCgfQUpNaB5Tb9sCd/bGm8uxCwa9adnPH0tFcCDweczER1BhacRe932wGu3LmFcaY9HzmWuB7EcwfAJpdS5FXQc9Gu3bxa54o337sq9RVJ6udI0LcJ1LVI7Wtc/3SvGiRFS8ZhKjIqgNyIcQV8Ka8SqLCx5nNzxOL1ocnTAblrcTkE/R1DQCobkU9XDqombcYawRi+9MymtlgWZKVDqiqZm5HWa5F+HkhGbcYawWN97cUhfspqrCTHSehBLFYPioyJKZjA9qxs16O9zOLpECX2lpLNBMaSPjOpeo/DD4JqJlSShRDMpHsgtsP6biQc24xeCAW+oSi+wKc0OBZro8qqriYjwgAvGgfDTnDt1sMN5s37miHTqijUpJJzGczSjpD/VmM0rmFz00o8WxG26nD23O0sgoCSXG0J+9gRCQexFXZM14pblZpMa3SntgNiy92060FK5zicoPg28iyimtKnNpmiE/hiInF6RpNtnb4anohkfyocG+taTTNFPpBIbCJ0Tl5fHYBc24SW9Fi6NDnBevtrQUfUBBtBZUVcVUPChuvA3KR5BMxzSPqbVuEsFpppZC6bb7y1z7zs0dowmfRBpz58z1MKDJsUMUiWywlfa1jwqH61yi8sPgm4iEUGI8k4Yp9yIQ6kVMCWnGK81NIvhslTo3dIGicHIyW5W5F4GQH5HUlGZcMtWJXfFWaY+oyky0EcRSIQzIh0UAGkqOacZtxspswcRuuJ1dcJhqCjTT/EsoEQxks34CIT+mEkOacYtBglvqEtcDp7m+QDOlUsN1LlH5YfBNVMaSSgyD4aNigT0ZH9CMm/V2tDr3wCP54HF6UWlpLtBMCyvTj7hvLkV9kX7EmcV3N/sJU8lR1BRGwqfQL2dTySNntEUTdUa4HLtFgFlnbYNOp7/MM25c0/GR7I25HgRChxa0Tqy2tIiblC2OjqKod0HFietcovLD4JuojKhqGuPRC9kFth/B8PEcFX+3iXPbTfZ2plPmkErHMSgfQ7+c2QmbiPVrxk166yX9hJuZok5FZzo+hP5QL/pCPRiQDyOZjmrGayxu8TvskjpgKuFU8nxJqwpGIqdFhsyCTg86I5rtO8XPsd62uWxvWtBCXOcSlR8G30QbnJy8mK3o24uA7Ec0pe116zTVZ6uSZ9KnrUapQDMtXUv9jCvMDXBLPv6MqaDiSliTSj6TGNGMWw1OuLPntj2SF5K5rkAzLV1L/4wrRBV1/oyJ61yi8sPgm2iDSaXjCIaPi8Jh3JVdX9rsgh72E6aCSasKRiNn0Jc9q8xd2fWlqiqmE8MiEM+ZXWB1Z4/1MLugHHGdS1R+GHwTlbiVnUfOpJKzZdb6Wdm5eh8qLU0FmiltBDOJ0XnB3iHElbBmvCp7Htnj9KLF0cnzyOuI5+rpUlznEpUfBt9EJSiSnEJA7s3uaPUikprUjEumWk0qOStxFw9tRXk/Ygv6CTdpqqiznzBdTkKJijTnpSpxu51eVJgbCjRTulQsFUJAPiRulsjJcc243ViVOQYgZf7uHKbqAs2U8oXrXKLyw+CbqARoe1D7MR47rxk36i1ocXSKPrvVllamkpeApfoJ66AX/YQ3Qi91unLsQb0xlVsvdcrgOpeo/DD4JipCqqpiMj6AvlBPJpVcPoqUmtA8pt62ReyQNtt3MpV8A0goUQxm+wn3y35MxYOa8cwu5p5sb2XuYpaLUGJ8Xip5b45siWYRlDFbYmNQ0kkMR06Kv/fR6DkAc8s1g86MFsdueCoyN+ZqrB7ecC1BXOcSlR8G30RFIpqaQSDUmw28ehFOTmjGHcZq0QLMLXXBbqoqzERp3cz1E+b53XIyVyegJ1snYFAzbtbbRcVst+RlnYAyEE1NIxA6xM+HDYbrXKLyw+CbqECUdBJD2Z2NwGI7G1JHZkeLOxtlb7ZytUg3zlm5eodYgDfYtrBYU4lQ1TTGoucz1wLZzwr5dFmzmVGz14JB+UjOzCi3NJeizsyo4sR1LlH5YfBNtE5WdqavO3umz1yg2VKxy/QTPiJ2R9mzubTM9YbPVL6OKQt7w2d2MX1wO7tgMTgKNFMqdqwJUrq4ziUqPwy+ifJofjXbQKgXoeSYZtxmrBTFtNzOLjhMNQWaKZW66fgQ+rPHFgLyoYX9hC1uUYSrxdEBk8FaoJmWp2Q6jqB8DP1yJtNlItavGTfprWiV9ojd7UpzMwMkWpXZbhizN3Zyd8OYu7HDbhiFw3UuUflh8E20hpbq42rQmbJ9XL1ws48r5YmipjASOS2ONIywn/C6U1UV47EL2d3tXgTDx6CoyXmP0KHRvi17482HJkc7DDpjweZLG5OqqpiI9Yld8Vy/hw22rSLjqsnezhT1dTS7zgWmAXCdS7RcxRu9Lo3BN9EVUFUV04nheZWIDy/ccbS64ZEyQY5L6oCJ7WFoncVSIdELuj/kz52BIXmz58W9zMBYpXByMrvjmOnhHklNacYlU52mhzt3HGm9pdJxBMPHxbVgItanGZ/NwJi9FlSZXczAyCMG30SrU7zR69IYfBOtUOas7eHsWdveHGdtK8TZOrfTC8lUW6CZEi2kqiqmEkERIGZuGF1ae6BNBInsJ7y4VDqBYPi4OLs9HrugGTfqLWh1dGavBT5UW1oYyFBRydQe6BXF/qIpbe0Bp6l+3g2jLliNUoFmujEx+CZaneKNXpfG4JtoCWlVyabwZoKV3FWmd4oFSr1tM1N4qWRo+wn3YjR6Frn6Cc9WUa8t46r7qqriYjwwl8IrH81ZZdrj7IbH6UOzfQdTeKlkqGoa49EL2WNTfgTDx3NU3d8mrgWN9u08KnGFGHwTrU7xRq9LY/BNlEOmv7I/e2b2EBLpiGa8Ottf2e30ocXRwf7KtGFk+s0fQkD2oy/kX6SfsFf0mN7o/YQ1/ZVDfoRTFzXjDmONuPGWKV5VWaCZEq2t2X7zszvjF+MBzbhZb59XJNCLSktzgWZauhh8E61OvqLXF198EY899hheffVVDA0N4Vvf+hbe+c53zntdFQ8//DCefPJJTE5O4rrrrsMXv/hFdHR0LPs1GHwTAUgokWzbpkyBqqnEkGbcYpDglrqyO1peOM31BZop0fopx37CSjqJochJ0cJtLHpOM27UmeGSOkTAXWNxl20mAJWXUGI8c8RCzmSBxRRZM15hbsz+u+hGq9TJ9njLwOCbaHXyFb0+//zzeOmll3DVVVfhtttuWxB8P/roo/jrv/5r7N+/H+3t7XjkkUfw4osv4uTJk3A6nct6DQbfVJbSqoLR6FlxR384fBJpKGJcDwOaHDvEue0G21bodYYCzpio8JR0UhRrCsi9CwNTvQUtjrnAtBT6CWduMAyKc9uD4aMLzsDXWTeJTJfMGXhzgWZLVBzSqoKx6Hlxw3oofELzGaqDHk32dnEtaLBv42doDgy+iVZnPaJXnU6nCb5VVYXL5cJHPvIRfOITnwAAxONxNDY24tFHH8U999yzvOdl8E3lIpQYE32QB+TeBXftK83N8wrLdMJssBdopkSlIdNP+JAoPlgq/YSjqRlN9Xc5Oa4ZtxurRLVnt+SFw1RdoJkSlYaEEsVg+Aj6Z/zol/2Yigc14xaDA61Sl/iMrTA3FGimxYXBN9HqFCL4PnfuHLZu3Yrf/OY36O7uFo97xzvegaqqKnz1q19d1vOyUgZtWJnFwFGxozUZH9SMm/V2uJ1d4uxqpaWpQDMlKk12UxV2VL8JO6rflO0n3C92wgbDxyAnJ3Ds4n/h2MX/grafsA9N61iMTFFTGA6fyqbMZvqea4vKmTR9z2utbUW/Y09UTMwGGzZXvAabK14DAJhJjIprQUA+hLgSxtnpl3F2+mUAQJXFJVpwtkidrJtCREVveHgYANDY2Kj5emNjI/r6+nJ9S04MvqmoJZQYXhp6GtPxIVRamnF983tgNlhzPlZV0yINrj/kx1DkxIJKrU32drGj1WjfzjQ4ojWi0+lQZ2tDna0NVzW8I2c/4dHoGYxGz+Dg6DMw6a1okTpFHYWl+gnHUhEcCHweM/ERVFgasdd9H6zG3NkpqqpiOjEkXntAPoJkOqp5TK3Vk7kWSD64pN0wsZ0a0ZqpMDegs/ZmdNbenDnmFTmbqaI+04PhyClMxYOYigdxaOI/Nce8Mh1Dtlz2szmVTuDwxA8wEx/GDa13r+O7IiLCgrWKqqorumHP4JuK1nPn9+HM1Ksw6DPnyAKyH71jL2Bb1dW4ZfODAAA5OSHObfeHehFTtD1KK8wNmrRXFoAhWh9GvUUspgEgnLwo2vX1y72IpqZxYeYgLswcBHD5fsLfOPVxDIXPi2vBxXgf/uHwe9Ds2Izfa38MABBXwqIqeUD2YyYxqpmP1VAhqjK7nV5Iptp1+CkQkV5nQJOjHU2Odlzb+D8QV8IYkI+IrLTpxDCC4WMIho/hl8Nfg9XgzHRUkLxwO31wmuvEc/08+FW8Ovo96HVJAGDwTUTrpqkpkyE7PDyM5ua57g6jo6MLdsMvh2e+qSg9d34fzk3/GkemrsGB4O0IRjxw2fux1/VNdFYdRKW5EUaDGRdj2tYnJr1tXusTHyrNTUwfJSoyqprGeKxvrl92+NiCLJUG+zZ4nF6cnvwFJuODi14LHKZqVJgbMBI5DRVp8Rx6nREux064pdndtM3Q6fSFeLtEdBnT8aFMPRbZj4HQ4RytPVvhcfoQSozj7PQvNdeC+F2lna7OM99Eq1PIgmsf/ehH8cADDwAAEokEGhoaWHCNSltCieHxQ3fg2HQ3vnLqQaiYWzDrkMZd7fuwu7InuwumQ6N9mzg71uhoh0HHhA6iUpJMxxGUj4pgfH4/YSVtWOa1YG6R7nH60OLogGmRIypEVJwUNYWRyGlxXnwkckbcVFPSehyfvgpfnnctUN9fyNleOQbfRKuTr+hVlmWcOXMGANDd3Y2//du/xU033YSamhp4PB48+uij2LdvH5566ils374dn/nMZ/CTn/xkRa3GGKVQ0fnp4JMw6BUcCN6uWWwDgAo9DgRvw57qg3BLPryl7X5Yjcv7ZSei4mTSW9BWcRXaKq4CAMiJcfTLvXg5+C+IYHLJa0GtdRNu3fwpOM31hZg+Ea0Rg84Il2MXXI5deG3THyCWkjEgH8ZvRr+FkehpvJDjWkBEtFYOHjyIm266Sfz5/vvvBwDceeed2L9/Px544AFEo1Hce++9mJycxHXXXYcXXnhh2YE3wOCbikAqncgWZsq0K5qIXQAABCOenI8firQBAMaiZ3F88sfwOH2osbiZXk5U4jSFmUJ+RJRM67KlrgVT8SEcv/gj9hMm2iBUVcVkfEBkw4xGMztRi10LiIjWwo033ojLJYXrdDo89NBDeOihh1b9Ggy+ad2pqoqLsf7sArsXg/JRKGpiweNc9n5ckHcs+HqzPVPOP6aE8PPgUwAAh7FGpJu6nd6i6SdMRJc3kxjNFk3sQUA+jLgiL3jMUtcCRY3jVyNfx69Gvs5+wkQlKpqayRZN7EG/3ItwcmLBYxa7FhARlQoG37QuIskpBORD4hxXODWpGXeYauGRMv1/G+078dSxD2Cv65s5z3nudT0DJW3AG5p/H4ORYxiUjyKcuojjkz/C8ckfIdNPeEu2pZgPzevYT5iILi+hRDEYPpIpsBTyYyo+qBmfHzzXW3fgX099bMlrwY0t78VQ5Hi2n7Cs7SdsbhbXglZpD/sJExUJJZ3EcOSk6FYyGj0LYG7HyaAzo8WxG26nDy5HJ75x+sGc1wIiolLCgmuUF0o6iaHICZEyNhY9pxk36sxwSR3wOH1oc3aj2tKqSRvXVju/DUORNjTb+7DX9Qw6qw5iS+W1ot3YbNr6bNuS8Wza+iyT3ooWR0d2V9yHaksLU9SJ1omqpjEaPSduvA1FTi6obN5kbxc71ZemjX/j1McxEjmz6LWg0b5NtBtLqwpGo2fFdWc4fFJbAX2F/YSJaO2oqoqpeDDz71P2Y1A+gmQ6pnlMrbVN/Pt0OXbBqLeIsZ8Hv4rfjD6ruRbEWO2cqCwVb/S6NAbftCa057N6MRg+glQ6rnlMnXWz+FBtduyEUW++7HNe2ucbyFQ+nt/nO5dw8mImdS17bjSamtaMO031mR6iTh/cUhcLthGtsdmCaZmAuxcxJaQZrzA3zuvpvQcWg+Oyz3dpn28gcy2Y3+c7l4QSwYB8WFyXphNDmnGrQUJrNuPGc0k/YSK6cpmCaYfEDbFQckwzbjNWwCNlboy7nV5IpprLPt+lfb4/5P1W3ua+Hhh8E61O8UavS2PwTas2ez4rkA1y5UvOZ9mN1fCIINcLu6lqxa+RUGJ4aehpTMeHUGlpxvXN74F5Be2DZvsJB7KL72D4GBQ1Oe8Rc63K3E4fmtiqjGjFkkoMg+Gj2bPb2lZhAGDS2+AW57C9qLQ0r/g1YqkIDgQ+j5n4CCosjdjrvg9Wo31FzzEdH0ZA3BQ4lKOfcEt2jt1sVUa0Coqawkj4lKjpMjqvVRgA6HVGuBy7xQ2vOmsbdLqVpZCn0gkcnvgBZuLDuKH17rV+C+uKwTfR6hRv9Lo0Bt+0bJnzWafmVR+99HyWSfOhWmttK7r07kw/4WPZgi5+XIwtDBJapU6xAK80NxXdeyAqtNmbWpkOBX4Ew8cXpJI32Ldlb751o9G+vehuaqVVRfQT7g/5MRI5nSNI2Am3NJuivnnFQQJROZiOD6E/1Iu+UA8G5MNIpqOa8RqLWxRD5U0tLQbfRKtTvNHr0hh806JUVcVUIoj+UC8CIX/2Q3X557NKgZycELt1/aFexJQZzXgmPdYLt+SD29m1ZHos0UYVTl4U14J+uTfncY75qeSldpwjroQ1mTwziVHNuNVQMZfJ4/RCMtUWaKZEhRVXwvOOc/gxkxjRjFsNTnG0yyN5IfE4x6IYfBOtTvFGr0tj8E0amfNZmQ/VgLxwAWozVmR3grxwO31Lns8qJaqaxlj0vFhQDEVOLNjNa7RvFwFGo307izXRhpVKxxEMHxf/HiZifZpxk96KFqkTHmc3PE4vqsyuDZMloqoqphND4r3nvvHoyVRRl3xwSbthKrEbj0TLlVYVjEbOzBUyjJxaUMiw2bFTdBVosG1hlsgyMfgmWp3ijV6XxuC7zKVVRaSSB0J+jOQ8n7UrewfbhzrbprL5UM20RDoqqqhPXtISyay3w+3syp5p96HS0ligmRJdOVVVMRHrF9eCwfAxKGpi3iN0aLBtFbu/TWXUwk9RUxgOn8ru+meuk7mP3GRuStZZN22YGxFUnmYSo/NuPh1CXAlrxqtEfQQvWhydbOG3Sgy+iVaneKPXpTH4LkPT8WHNjs7CokOtYneX57PmhBJjojdxQO5FXJE145XmZhGYZPoJr6wYFNF6iySnRAGy/lAvIqlJzbjDVIu27M0lt7MLNiOvw0Cm2OT8tFs5Oa4ZtxurMmm3UiZF3WGqLtBMiZYnoUTnst5Cfkxd0hnAYnDALXWJ3e0Kc0OBZrqxMPgmWp3ijV6XxuC7DGTOZx0RO7jTiWHNuNUgZdMnM7s2bLeztNl+wrPnxYfDJ5HGXBskHfRocuxAm7MbbqcXDbatTFGnglPSSU0q+XjsvGbcqDNnU8kzC+xqSyt3cJeQabM4KK6vAznbLG7KnhWfrY1x+TaLRPmWVhWMRc/NpZIv8hk2m/XWYOdnWD4w+CZaneKNXpfG4HsDWun5rHrbZn6oXqFMP+Ejl9k1kOa1WvLBaa4v0EypnGQCwwFxLRiUjyClSSUH6m1b4M72unY5dpVNKnm+KOkkhiInRSX4seg5zbhBZ0aL1JHJkpF8qLF6eIOD1kUoMT4v660XsQXZW01zWW9SJwuMrgMG30SrU7zR69IYfG8Qs+ezAiE/AjnPZ7ngkeY+VHk+K7+m4yPZdN6enP2EeV6O8iWampmr4C/3Ipyc0IzbjdWiBZhb6oLdVFWYiZaJaGoagdAhEfSEUxc14w5jjQh4Mqn9lQWaKW00SSWGwfDR7O9eT866Ja3OPdm1gReVluYCzbR8MfgmWp3ijV6XxuC7RCWUKAazO639sh9T8aBmnOezisdcP+FMm6YFmQg6I5rtO8UCnP2EaSWUdBLDkZPi3PZo9Cy0xcDMaHHsFteCWu60FoyqqrgYD4hAPCgfzZmJMHstaLbvZCYCLdv8jh0B2Y9gOFfHjm3ZDgXs2FEMuM4lKj8MvktE5nzWebG7PRQ5ueBDtcneDk9FN89nFbm5Hqk9i/QTZo9UWpyqqpiKB8WNt0H5SI42WG0igMucMWYbrGKUSicQDB8X58XHYxc040a9BS2OzkzRO6cP1ZYW3jghDTl5Ufz+9Id6EVNmNONOU70ItlulPbAapQLNlHLhOpeo/DD4LmKhxHi2tU0vAqFexJSQZnz2fJbb6UMrz2eVpEw/YW31+WQ6qnlMjdUtjgy4pA72Ey5DsVRIU107lBzTjNuMlaJgosfphcNUU6CZ0pUIJyezx1UyWTKR1JRmXDLViZsqrdIeVp8vQ8l0HEH5GPrlzI34iVi/Ztykt6JV2iN+TyrNzbxhU8TKfZ1LVI4YfBcR7fksPybjA5pxs94+70OV57M2IkVNYSR8Cv1yZhdjJHIa81OIM33Xd4uFVZ21jSnqG9ClvwejkTMLjirw92Bjy/Rd78tmyPQiGD4GRU3Oe8Rs33Vftu96O1PUNyBVVTEeu5Dd3ebvwUZTbutcImLwXVCqmsZ49EJ2ge1HMHw85/ms2bOajfbtMOiMBZwxrbdYKoSAPFes6dJ+wtzx3Dim4kOXz4CwuLOZLl60ODpgMlgLNFMqBO54lo+lMyBqNankzIAoXRt9nUtECzH4Xmdz57N6EZD9iKZ4PouWZ3lnfTdlK1nzrG+xmzv778+e/R/RjPPsP12OnJzIVrXPVLa/9KxvhbkBbsnHz5ISsNyz/7NdCnj2f+PYiOtcIro8Bt95lkrHEQwfF60+FtutmN25rDK7+KFKyzJb5bovW4RvNHoOrHJdvJaseg8Dmh074Xb60ObsZtV7WjZWuS4trHpPszbCOpeIVobB9xqbO6c3m0rO81m0PjT9hHP0d3YYq0Ugzv7O62MmMTovlfwQ4kpYM85+75QPCSWKYPjY5euHiP7OPlRamgo00/KxdL/3anHjrVXaw+tzmSjFdS4RXRkG32sgkpxCQO7N7kD2IpKa1Ixnzmf54Ml+qPJ8FuWbqqqYjA+gL9vObLGdFbc0l6LOm0BXLqFEMCAfES0BpxJDmnGLwQG31AWPsxtupxcV5oYCzZTKSSgxJtLTB+RexBRZM87OGWtPSScxFDkpWkqORc9pxg06M1qkjkwqueRDDTOTylKprHOJaO0w+F6FVDqBofAJcQd7PHZeM649n+VDtaWVH6pUUMv7ne0QGRn8nV2etKpgLHpO/FyHwyeRhiLGddCjybEje27bhwb7Vqb7UkHxdzY/Mjc8B8W57cHw0QU1Oeqsm8RNjkxNDnOBZkvFoljXuUSUPwy+l4Hns2ijmc3W6M8W/1ssW8Mt+eB2djFbY55QYnxeKnmuXcRmceOthbuIVOQSSlQU/sudrSHBLeqS+JitMU80NaMpmpizG0X2Jobb2cVuFLRAsaxziWj9MPheRDQ1k60ky/OztLEtv06BN1unYEdZ3VxKKFEMho+KHa3J+KBmnOdnaSOZjo+IG3OBUC8S6YhmvMriyhZuK786BYqawnD4VOZaIPsxEjkDbZFLE1yO3fA4M+0f66xtLJpIl8Xgm6j8MPjOmjufdZnK0TyfRWVAW6Hfj4lYn2bcpLeiReoUC/CNVqF/fuXo/pAfQ5FclaO3i0wXVo6mjSqtKhiNnBEdFRZU6NcZ0WzfIW5EN9i2bKhgU1VVTCeG5mW6HEEyHdU8psbqFjfeXFIHTGzvSCvA4Juo/JRt8D3XM7ln0fNZ2p7Ju3k+i8rS8nrTz/YT7irJfsJzPZMz7/PSnsmZ99jNnslU1pbdmz5byLEUe9PHlbCoSh6Q/ZhJjGrGrYYKsS5wO72QTLUFmiltBAy+icpPWQXfsVQIAfmQSKcLJcc04zyfRXR5qprGePQC+uXZFPXjC3aFG+zbsovTbjTat8OgMxZwxrkl03EE5WOZm2+yHxdjAc24SW9Fq7RH3FSoNDdvqN19orUwHR9Cf6gXfaEeDMiHF+4KW9wiSG1xdMBksBZopotLqwpGIqfFDYWRyOkcu/s7xbWg3rZ5Q+3uU2Ex+CYqPxs6+F7qfJZeZ8yez8p8qPJ8FtHKJJUYBsNHL99PWASxXlRamgsyT1VVMR67IHbwFz/XnmkJ2ORoL8qbBkTFSlFTGAmfyt6Y68Vo5MyCINbl2CVucNfZNhXs8zZzrt2fuWkQOrzgXHu1pUVUJW9xdJTVuXZaXwy+icpPSQTfL579Ol636V1Lpn1nzmcNzzufleNOPM9nEeVNKDGevdnVi0DIv6ASeIW5cV6K+p5lVQKPpSI4EPg8ZuIjqLA0Yq/7PliN9iW/L5yczKSSy5lMl0hqSjOeqeg+l0rOiu5EayeWCmlS1BdmmlXAnf0s9ji9y840W831IKFE5s2lF9M5K7p3iToWTnP9yt4s0Sox+CYqP3kPvh9//HE89thjGBoaQkdHBz73uc/hjW9847K+d/ai9OjP3waLw46rG96GN7ju1Dxm9nxWIHu3feEZNJ7PIiqETD/h2cJlPbn7CdvbRTDeYN+2oHDZN059HEPh8zDo575PSRvQ7NiM32t/TPPYVDqBYPg4AiE/+kJ+TMQuaMaNegtaHZ1iR6va0sJUcqJ1MFdjJZOFNigfyVFjpU1cCzI9sBfeGF/u9SBTKO6sOB4zHD6p3YWHQfQydzu9aLCxlzmt3lqscxl8E5WPvAbf3/jGN/CHf/iHePzxx3H99dfjS1/6Er7yla/g2LFj8Hg8S37/7EXJ8+WD+O1t30dn1UF0N7wd2ypfh/5QL/pDPTyfRVQiEkoUg/IRsQCfigc14xaDA61Sl/i3+/yFxzASOYMjU9fgQPB2BCMeuOz92Ov6JjqrDqLBthV7PR8Saa6D8lEoakLznPW2LeL5mu07y6pFGlGxUtJJDGe7i/SHejEaPYvcLbsyx0BqrR782+kHLns9qLO1wVv3tmyhtEOIX5J1U2lunpd10wmzYensGaKlrNU6l8E3UfnIa/B93XXX4aqrrsITTzwhvrZr1y68853vxL59+5b8/tmLEj43DZ1Nwl3t+7C7skdz1xvg+SyiUjSTGBWt/TKL5bBmXEkbcGy6G1859SBUzN1A0yG96LXAYawRC2y3sws2Y+W6vBciWr1oaiZbYbwH/XIvwskJzbhF50REiazoemDW2+F2Zm7muSUvKi1N6/Z+qHys1TqXwTdR+chbRaFEIoFXX30Vn/zkJzVfv/nmm/GLX/wi5/fE43HE43Hx55mZuXY/KvQ4ELwNe6oPwqAzYXPFa3g+i6iEVZgb0Fl7Mzprb55LE822/huKnIBBr+BA8HbNQhvQXgsAnTgz6nF2o8biZio5UYmxGSvQXv0GtFe/AaqqYjI+IM6KD8pHEFdDMOix5PXArHfAV38rPE4vGu3bmUpOebXW61wiKg95C77Hx8ehKAoaGxs1X29sbMTw8HDO79m3bx8efvjhRZ9zKNIGAHA5OnBT6x/DanSu3YSJqGD0OgOaHO1otG/Htqrr8R9nPo2oMoVgJHfa3uy1wGGoxm+13luS/YSJaCGdTocaqxs1Vje2Vb0eF2Zexc8G/x9SanzJ64HNWIlrG/8Hb8DRusjHOpeINr6899K59ENQVdVFPxgffPBB3H///eLPMzMzcLvd4s/N9j4AQED248tH70SjfZuoXN7I1kBEJSmWCiEgHxI7XXJyXIy57P24IO9Y8D2z14KwchFPHb8b1ZZWtDm7i7qfMBFdXjIdR1A+KupCXIwFNONLXQ+mE0HsP353NtV89ugJU3kpv9ZynUtEG1/eotW6ujoYDIYFd/9GR0cX3CWcZbFYYLHkbv2lQxo3u56BohpRZ2nCZGIAI5HTGImcxiuj/w6T3javn7APleYm3v0mKkKKmsJw+FS2JZkfI5EzuLTYUoOlHQORE9jr+mbOM543u56Bkjagyb4Z47FzmIwPYDI+AP/4d4uqnzARLU5V0xiP9YkOBcHwMaTV1LxH6NBo3waXrRMHx76zxPVAD5NeDzk5gWMX/wvHLv4XAB0abFtFx5Mm+w4WXaQ1s9brXCIqD3kLvs1mM66++mocOHAA73rXu8TXDxw4gHe84x0rei6P4xR+e9sP0FF1EFc1vBNvcN0JOTkhdsoCoV7ElBDOz/wa52d+DWC2n7BX3P1eTj9hIlp7qqpiOjEk/r0OyEeQTEc1j6m1euDOBssuaTdMegu+cerj0OsO4q72fTgQvA1DkTY02/uw1/UMOqoOotG+Db/X/hhiKXleD98ehJJjGJAPY0A+jF/gn+b1E/bC7fRBWmY/YSJae+HkJAKhXvTLmc/uSGpKMy6Z6uaKJkpd4njZYOTwkteD27Y9gmD4uLjWTMT6MBo9g9HoGRwcfQYmvRWt0p7MtcbpRZXZxZv0tGpruc4lovKxLq3G/uEf/gGve93r8OSTT+LLX/4yjh49ira2tiW/fzl9voHM3fO5fsKZYk3z757P9hOe/cBlIRai/IorYQRChxDI9tmdSYxqxq2GCrEb5XZ6IZlqcz7PSvp8A3OBfl+2ivqAfDhHP2FPtljj4v2EiWhtpNIJBMPHRFuxidgFzbhJb0WL1CmOkFVZFg+IV3o9CCcvoj/UK7JsoiltcSunqX5e+7EuWI3Slb9hKitrtc5ltXOi8pHX4BsAHn/8cXz2s5/F0NAQOjs78Xd/93d405vetKzvnb0ovXj263jdpnfBqDcv6/sSShSD4aMilW0qPqgZ17Yg8aHSkjs9iIiWJ60qGImcFjfARiKnoSItxjOp4DuzO9A+1Ns2LzsVPJaK4EDg85iJj6DC0oi97vtgNS6vR2+mn/ApMa/L9xP2odbaxp0woiugqiouxvrRL2eC7UH5KBQ1Me8ROjTYtmRvhvvQvMJU8NVeD2ZT3GevBZemuOugR4N9m+ic0GjfzjoytCxrsc5l8E1UPvIefF+JtboozSRGM2luop+wrBmvMjeLhUCr1AmzYXkLe6JyNh0fQUD2oy/Ug4HQYSTSEc14taVVBLUux26YDbYCzXRONDWjSVGXL+knbDdWw+30oi3bG9huqirMRIlKSCQ5JYomBkJ+hFOTmnGHqRYeaTbTpQs2Y2WBZjonqcSyN+kza4OLcW1xN7PePq+OjBeVluYCzZQ2MgbfROWnLILv+dKqgtHoWfGBOxw+iTTmUtj0MKDJsUOkwzbYtjJFnQhAQonMC1x7MZ0Y0oxbDRJaswtsj9MLp7m+QDNdHm0/4V4Mho8glY5rHlNn3SxuIDQ7di47+4ZoI1PSSQxFTqBvpgcBuRdj0XOacaPODJfUAY/ThzZnN6otrUWfUSInxtEv92rqyMyXqSMze5N+D+vI0Jpg8E1Ufsou+L7URgsoiNZKWlUwGjmbTR/N3KjSpJLPu1GVSSXfUtI3qmYDitm01MsFFB6nDzUWd9EHFERrodxuVKlqGqPRc2Infyh8QnOTfraOzOz7bbBvK+lrHxUOg2+i8lP2wfelpuPDCIi734dypNK2ZHfFfWhxdBRFKi3RWgklxua6CJT5EY2VpdJ62U+YNpRoakZTNHHhEY0quJ2+sjiikakjcwT92Yy5S+vIWAwOtEpdIhivMDcUaKZUahh8E5UfBt+XsZwiUs32nfN2/pZfRIqoGCy1qMwUJ8wGmJK3bIsT5ruIFFGhsTjh8s3VkenJ3qQMa8arzM2io0KL1Mmb9LSoQq9ziWj9MfhegbVqn0RUKLNt+fpCPZl0ysjJRdvytTGdclHLap/kmE1R775s+ySiQlBVFVOJoGjFlbstX9u8oolsy5dLuR3PobVVbOtcIso/Bt+rNNtPeHaXINfCpcbqFr1LXVIHTFy4UAGwkFD+hZMXEQgdEgvwaGpaM+401c/LIOiC1egs0EypnMVScrbGSQ/6Q36EkmOacZuxItsO0Au30wfJVFOgmZauuBLGoHxkmXVkfHCa6wo0UyoGxbzOJaL8YPC9RhQ1heHwKQRCfvTLfoxEzmB+yl6mz/HuzPk4pw911k3cCaO8SKbjGJSPLNpCx6S3iRY6bU4fW+issaX6CQM6NNq3wSNlrgVNjnb2E6a8SKuKSCUPhDKfS5cenXI5dmUCQcmHOtsmHp1aY9Px4cy1QPYv2ZKxxdEBk8FaoJlSIZTSOpeI1gaD7zzR9hP2Q06Oa8YzxWq82QW4Fw5TdYFmSqVuqWBPBz0a7NsyRyIkHxoZ7K2rZDqOoHxULMAvxha/GeJx+lBpbuKNOVo1EexlM7IY7BWP5dSRcTl2ZrMPWEemHJTyOpeIVofB9zrItGkZzOyKh/wYyNGmpda6KXtevDt7tq5027RQ/oWTF8VZzX65N2ea8/xUcqY5Fw85OYFAqDd77n6xYwBeuCUf3M4uHgOgy4orYQzIR8Tny3RiWDNuNUiZQoBSJpWcac7FY+4YgB/9oR4eAyhDG2WdS0TLx+C7ADL9hE+KD9xL+wkbdGa0SB1ip7LG6uFOWJlLpeMIho+LHZOJWJ9m3KS3okXqFDUGWOCrNMwWwJv9ex2KnFiQtdBo356tnOxFo307izWVuUyBrzPid2Y4cmqRAl/dYveUvzPFbzl1ZGqtnuyNFB9c0m7WkdkANuo6l4gWx+C7CERT05liTdkP3XDqombcYawWLYw8Ti9sxsoCzZTWi6qqmIj1i7Oag+FjOVpbbRXV9ZvY2mpDyLR+Oyp2MSdztn7ryhZu85Vt67dyM5MYFdeCnK2tLC5x442trTaG2Toys8XxFm/9lsmYK+fWb6WsXNa5RDSHwXeRUVUVF+OBufO78lGkNEEXUG/bIlKKm+07GXRtEJHkFALzqpKHU5OacYepFh5prpWdzVge/ybKWSgxJq4FmaBL1oxXmpvFDZhWaQ/MBnuBZkprKaFE5ypmy35MxYOacYvBAbfUJW7KVpgbCjRTWi/aOjI9kJMTmnG7sTrbUSGTMWc3VRVmorQi5bjOJSp3DL6LXKaf8HGxEzZ+ST9ho96CFkenWIBXW1p597tEKOmkSCUPyL0Ljh8YdeZMKnl2gc2/2/KWVhWMRs+KKvbD4ZNIQxHj8/sJu51eNNi2Mt24RKRVBWPRc3Op5Jf83eqgR5O9XVwLGuzb+HdbxpZTR6bOuil7LfCxjkwR4zqXqPww+C4x4eRkdnc0U2wrkprSjEum2uwCrRut0h7ujhaRzIJpQCywB+UjC7Ia6qyb57IaHDu5YKJFJZQIBkQ/Yf+CfsIWgwS31DWvn3B9gWZKuYQS46JgYq7Ce5XmJhE8tUqdLLxHi8rUkTkhrgW5buS6pA5xLaixuHkjt0hwnUtUfhh8l7DMuWBtiylFTc57xOy5YF/2XHA7U9TXWTQ1g0DoEALybMu5hamCs1kLbsnLVEFaten48LxjC4dytJhqEcFci6OD54LXWVKJYTB8VFyvJ+MDmnGz3j6v5ZwXlZbmAs2USt3SdWRqxLrA7exiHZkC4jqXqPww+N5AMv2Ej6FfzhTmmYj1a8ZNeitapT3Zc4JeVJlZEXutKekkhkUl+94cRXLMaHHsFmc1a1nJnvJgrp9wL/pDPTn7CTfbd4oFOPsJrz1VTWM8egH98uzN0eM5KtlvE9eCRvt2GHTGAs6YNqK5OjI96A/1YlA+eknxztk6Mt3ZOjIs3rmeZte5wDQArnOJlqt4o9elMfjewGb7Cfdnz4jGlBnNeIW5IdtDdLYXtFSgmZYuVVUxFQ+KwkiD8pEc7WHaRJCTOXvH9jC0vuJKWJOBMZMY1YxbDRWiirpH8kJiL+hVkZMXs+dwexGQ/YimtNdcp6lecyyI11xab0vVkTHprWhxdIgsmWpLC28Q5xGDb6LVKd7odWkMvsvE/H7CAdmPYDhXP+G5XZgmezsL+iwilpIxIM+l9IWSY5pxm7ECHimzcHE7vZBMNQWaKdFCmX7Cw5f0E45qHlNjdYvWVS6pg/2EF5FKxxEMH0dfqIfZRlSSlq4jUzeXoi51wWp0FmaiGxSDb6LVKd7odWkMvstUQokiGD52+fOHzj1iAV5paSrQTAtPUVMYCZ/Kpo/2YjRyZkEKr8uxK7tr6EOdbRNTeKlkzPYTDmSzN0YiZzD/qETm93u3WIDXWdvK9vebdTZoI1PVNMZjfSJ7I9fvd6N9m7i53ORo51GJK8Tgm2h1ijd6XRqDbwIw20+4N7sT1ovYgn7C5VV5dzo+hP5QL/pCPbl3Bi1u0dKpxdEBk8FaoJkSra1YKoTAvMwOOTmuGbcbqzL9hKXM77/DVF2gma6PSHJK3HgLhHoRSU1qxmc7TLil2eJV/KyijWHpOjI2tM5rh1lpbmZmxwox+CZanXxFry+++CIee+wxvPrqqxgaGsK3vvUtvPOd75z3uioefvhhPPnkk5icnMR1112HL37xi+jo6Fj2azD4pgWW1XM220/YI/nQYC/9fsJxJYwB+bB4zzOJEc241SBlUkelTGVynomlcrCcfsK11k2iYv9GqGmQSicwFJ5t29Sz4EysUW9Bi6NTvOdqSysDDioLc3VkMjejLldHxu3s2vA36dcCg2+i1clX9Pr888/jpZdewlVXXYXbbrttQfD96KOP4q//+q+xf/9+tLe345FHHsGLL76IkydPwulc3rEcBt+0pIQSFYFpIOTH1IJ+wg64pS5xXrzC3FCgmS5fWlUwGjmDvux7Go6c0qaSw4Bmx07xnuptm0v+BgPRlcr0Ez4prgWZav5z5lfzb3P6UFMC1fznqkFnU8nlo0jlqAbtluZuMDCVnMrd8urIbBe74o327fwMzYHBN9HqrEf0qtPpNMG3qqpwuVz4yEc+gk984hMAgHg8jsbGRjz66KO45557lve8DL5ppabjI/P6Cfcu6CdcZXGJs+ItUmfR9BOeSYzOKzJ1CHElrBmvsriy7Va8aHEUz7yJitXS/YSrxQ0st9RVNH3so6mZeTt4pTNvomKVUKIYDB8VWTKT8UHN+GwdmTZnN9ySD5WWxgLNtLgw+CZanUIE3+fOncPWrVvxm9/8Bt3d3eJx73jHO1BVVYWvfvWry3peVsqgFau0NKLScjM6a2/OuYM8FQ9iKh7EoYn/zPYT3iEWsg22LetWrGkj7tgTFRObsRLt1W9Ee/Ubc+4gh1OTODH5Y5yY/DGAwu0gL9yxP4f5ReVKcceeqJiYDTZsrrgGmyuuAZC7jsy56V/h3PSvAACV5mZxdKNV2gOzwV7I6RMRLWl4eBgA0NiovXnY2NiIvr6+ZT8Pg2+6InqdAU2OHWhy7MB1Tb+X8+z0YPgoBsNH8cvhf4HV4MwWa1re2emEEsNLQ09jOj6ESkszrm9+D8yLFDcrx7PqRMVCp9Oh1upBrdWD7vq3X3J22o/x2HmMRc9hLHoOvxn7VvbsdIdIS13q7HQsFcGBwOcxEx9BhaURe933wWrMvWC/9Kz6YPgokumY5jEb7aw6UTFxmuvRUftmdNS+Oedn83RiCIcnhnB44vsr/mxOpRM4PPEDzMSHcUPr3ev4roiIsGCtoqrqim7YM+2c8mqpquHVltZMGlqOquHPnd+HM1OvwqCfC6CVtAHbqq7GLZsfBACEEuPzUslZpZ2oWC3dT3jxquHfOPVxDIXPL7gWNDs24/faHwOgrdIeCPUilBzTPL/NWCkW925nFxymmvy9WSJaVEKJYEA+cpmsNAluqUvcmHOa68XYz4Nfxauj34Nel2mB9iHvt9Z17muNaedEq1PKaecMvmndrKRfdt/0bzAQPoojU9fgQPB2BCMeuOz92Ov6JjqrDqLS3AiD3rjoubLMmXMvKi3N6/02iWgJy++X7cWZqV9iMj646LXAYaqC01zP/uREJWrpOjIt8Dh9kBPjODv9K821IH5XaddmYfBNtDqFLLj20Y9+FA888AAAIJFIoKGhgQXXqDTEUiFNivr8nSolbcCx6W585dSDUDG3YNYhjbva92F3ZQ8MeiVbUXVb9qxmNyuqEpWgVDqOYPg4+kI9C/oJL/daAAA1Vrco9uiSOmBiKjlRSUmrCkYip0WGzPxOJEpaj+PTV+HL864F6vsLOdsrx+CbaHXyFb3KsowzZ84AALq7u/G3f/u3uOmmm1BTUwOPx4NHH30U+/btw1NPPYXt27fjM5/5DH7yk5+sqNUYz3xTwViNTmyrej22Vb0eqqpiKh5Ef8iP34w9Czk5jgPB2zWLbQBQoceB4G3YU30QbsmHt7R9DFajVKB3QERrwai3iB1qAJCTFxEI+fGL4D8jgsklrwV11k24dcufQzLVFmD2RLRW9LpMm89mx05NHZlXR76FkegpvJDjWkBEtFYOHjyIm266Sfz5/vvvBwDceeed2L9/Px544AFEo1Hce++9mJycxHXXXYcXXnhh2YE3wOCbioROp0O1tQXV1hacnzkIOTmOYMST87FDkTYAwGj0LI5d/CE8Th9qrW2sTkxU4uZ2vTLZMBFlEgCWvBZMxoM4MvEDeLLZLwYdP9qISpmqqrgY6xfH1EaipwEsfi0gIloLN954Iy6XFK7T6fDQQw/hoYceWvVrcIVCRafS0oyA7IfL3o8L8o4F4832TDn/uBLCS0NfxUtDX4XdWC0qF7slL/vyEpWIzHlPf6YoY+jwgvOeAJa8FihqAq+M/DteGfn3TN0HaU92J511H4hKRTQ1LdqTBUJ+hFOTCx6z2LWAiKhUMPimonN983vQO/YC9rq+mfOc517XM1DSBrzB9QcIho9hUD6CSGoSJyZ/ghOTPwEA1Fk3izTWZsdOGPXmAr0bIpovU+l4ttZDL6YvU+m43rYDXzt5/5LXgpta34ehyAkEQv5MP+GZX+HcTKafcIW5MXst6GbHA6IioqSTGIrMtSMci57TjBt1Zrikjmw7wE58/dQnc14LiIhKCQuuUVF67vw+nJv+dbaq6W0YirSh2d6Hva5n0Fl1EFsqrxXtxpR0EsHw8czdcrn3sh/gbc7uJfsJE9HaSasKRqNnNT1+NV0OYBA9ft1OLxps2h6/3zj1cYxEzix6LWi0bxPtxjL9hM9nX6sHw+GTSGOuPZkOejTZ28WNuQb7NhZoJFonqqpiMj4gbrwNho8glY5rHlNn3SRull164/znwa/iN6PPaq4FMVY7JypLxRu9Lo3BNxWt5fT5ziWSnMr2++1Bf6gXkUtS1xymWngkr1jsz+8nTERXLpQYE8F2QD6EuCJrxivNzSIAbpU6YTbYL/t8y+nznUtCiWIw20+4X/ZjKh7UjFsMDrTO6ydcYW5YxbslosVEUzOariZyclwzbjdWwZ09IuKWvHCYqi/7fOzzTUQAg++8YfBNCSWGl4aexnR8CJWWZlzf/B6YDdZlf3+mn3C/OEM2GD4GRU3Me4QODbYt2Q9/H5rtO2DQm9b+jRBtYAklisHwEXFecyo+qBk36+1wO7tETYZKS9OKXyOWiuBA4POYiY+gwtKIve77YDVePmi/1ExiVFwLMjcFwprxKotLtCprkTphNpT2rhrRelPSSQxHTolgezR6FsDcMtOgM8Hl2C1ueK2mWGoqncDhiR9gJj6MG1rvXuN3sL4YfBOtTvFGr0tj8E1lZbaf8OzCYCLWpxk36a1okTrFArzK4mKKOtElVDU9L73bj6HICaTVlBjXQY9G+3Z4nN3wOL1otG8vuvTutKpgNHJmLh1+Xj9hQJsOnzl/vqXo3gNRoamqiunEkPh3NCAfRjId0zym1urJ3OCWfHBJu2HSWwo02+LD4JtodYo3el0ag28qa+HkRfSHehEI+dEv9yKamtaMO031cIsq6l2wGpffx49oI5ET4+iXZysR9yKmhDTjFeaG7L8TH9zOrpIrbJbpJ3wkcy0I+TGdGNaMWw0SWiUv2pw+uJ0+OM11BZopUWHFUrJIJQ/IfswkRjXjNmMF3FI2ldzpg2SqKdBMix+Db6LVKd7odWkMvomyVDWN8VifuIMfDB9bsJvXYN+WaWkm+dDoaGc/Ydqwkuk4gvJRcV76YiygGTfpbfNaevlQaW7aUFki0/EhkUY/IC9sgVZtaRXvvcXRAdMKjsMQlZK0qmAkchp9oR4EQn6MRM5os0R0RrgcOzOZLpIPdbZN0OlYjXw5GHwTrU7xRq9LY/BNtAhN8BHy42K8vIIPKi9L3XwCdGi0bxNHMsrp5pOipjASOS3Oiy8WfLil2RT1zQw+qKRNx4fFjbeBEG8+5QuDb6LVKd7odWkMvomWaem028bMrrizG63SnpJLu6XyE05OIhDqzXQGyHHsQjLViQU2j13MmZ922x/qQSg5phln2i2VmuUcu8ic2/by2MUaYvBNtDrFG70ujcE30Sosp+BUk71dtFApxoJTVH60BQd7MRG7oBlnwcGVU1UVU4mgqB2xVMGpFmk3jCw4RQWWKTh4Fv1ytuBg+CQLDhYAg2+i1Sne6HVpDL6J1sDKWi35UGlpLNBMqZyw1d76W49WS0SroW21dxhxRdaMs9Xe+mPwTbQ6xRu9Lo3BN1EezCRGs+m8s/2EL1nkmJtFwNMqdcJsWFm/YqLFRJJTCMiHxCI7nJrUjDuMNXOp5M4u2IyVBZppeYimZrIp6j3oD/khJyc043ZjdbajQqaQo91UVZiJ0oajvSncg6l4UDNuMTjQKs3eFPbypnABMPgmWp3ijV6XxuCbKM9Wkt7ndnrRYNvK9D5aNiWdFKnkAbkXY9FzmnGjzgyX1CEC7hqLmzutBaKqKibjAyLtfzB8BKl0XPOYOuumbH90H5odO2HUmws0Wyo1qprGaPScuPE2FDmZ8zjU7LWgwb6NnzUFxnUuUflh8E20zhJKZF6xpl5MJ4Y047P9hD3Z8+JOc32BZkrFSBvA+TEYPpojgNssFtgM4IqXkk5iKHJC/F3yxgmt1HIKgbY5u+HOZlmxEGhx4TqXqPww+CYqsOn4MAJi8XQoR0uXluyueKalC8/hlZ9oagaB0CEEstkTuVKXM5X2M+mjTF0uTSs7MuCFzcjPxXKTVGIYDB8Vx5pytcB0Z1PJPU4vKi3NBZopLQfXuUTlh8E3URFJq4roJ9wf8mMkcnpBP+Fm+855FWjZT3gjmiva1YP+UC+LdpUhVVVxMdafPa7Si0H5KIvllSFVTWM8ekEcWwqGjy9IJW+0bxO/B4327TDojAWcMa0E17lE5YfBN1ERiythzY7nTGJUM241VMzteDq9kEy1BZopXYnltatqE8G2y7GL7arKTCqdQDB87PJt4hwdIkum2tLCGzIlKpy8KK4F/XIvoqlpzbjTVC+uBa3SHliNzgLNlK4U17lE5YfBN1GJUFUV04khsSueK0CrsbqzrWK64ZJ2w8QArWjFUjIGsinG/SE/QskxzbjNWAG3lEkddTt9kEw1BZopFaNw8iICoUNiRzRXgOYWRxG6GKAVsVQ6Loom9of8mIj1acZNeitapT3Z3W0vqswu3ljZILjOJSo/DL6JSpSipjAcPpXdHfFjJHIGuVOTM8FbnXUTF2wFpKgpcaQgEMr8fV16pMDl2JXZ0ZJ8qLNt4pECWhZVTWM81pe5FoR6EQwfg6Im5z1Ch0b7NnikzK54k6OdqckFpKoqJmL92WC7J+ffV4Ntq8hqauKRgg2L61yi8sPgm2iDmOsnPFuUa1wzbjdWZXbCpEyKusNUXaCZlo/p+FC2x24mU2FhMb3WbCViL1ocHTAZrAWaKW0kyXQcQflo5log+3ExtrAoV6vUKVqaVZqbeGMuzzLF9HrFsYHIJcX0JFNtNkvBB7ezi8X0ygTXuUTlh8E30QaUaUc1mN0J82Ng0X7CmZ2wzBlitqO6UnEljAH5iPi5TyeGNeNWg5RJHZUy2QhOc12BZkrlRE5OiOrY/aFexJQZzXiFuTGTIZMN/NiO6sop6aQmlXw8dl4zbtRb0OLoFLvb1ZZW3gApQ1znEpUfBt9EZSDTT/ikSHnOVM+eY9CZ0SJ1ZBaCkg81Vg8XgsuQVhWMRs6IBfZw5JQ2lRwGNDt2ikrE9bbN0OsMBZwxlTtVTWMsel78zg5FTuSonr1dFPRqtG/n7+wyZG54Doif66B8BClNdXqg3rYFbskriiYylZy4ziUqPwy+icpQNDWdKdaUXSiGUxc14w5jNdxOXzYlugs2Y2WBZlp8ZhKj84reHUJcCWvGqyyuTNG7Ch9aHJ3sy05FLaFEs32jM7/Tk/FBzbhZb4fb2SVSoistjQWaafGJpmbmMgrkXoSTE5rx2evobNE7u6mqMBOlosV1LlH5YfBNVOZUVcXFeEAElEH5aM4dm9mdsGb7zrLasUkoUQzKR8T52al4UDNuMTjglrrEIrvC3FCgmRJduVBiLFunoAcB+RDiiqwZrzQ3i1TpVmkPzAZ7gWa6/pR0EsPZDKL+UG82g2h+kUszWhy7szcumUFES+M6l6j8MPgmIo1UOoGh8An0h3qyZxUvaMY3+lnFtKpgLHpuLpU8fBJpKGJcBz2a7O3wVHTDI/nQYN/KtFzakNKqgtHoWbG7e+m/BT0MaHLsyNaO8KLBtrH+Laiqiql4UNx4G5SPLGjvWGvdJK6FmdoZbO9Iy8d1LlH5YfBNRJcVTk5mq/T2IhDyI5Ka0oxLpjqxK94q7SnJKr2hxHi2ZVsvAqFexJSQZrzS3CSK07VKnSxIRWUpoUQwkM0CCYT8mEoMacYtBgluqUtcD5zm+gLNdPViqZCma0QoOaYZtxkr4ZG88GSP5DhMNQWaKW0EXOcSlR8G30S0bJn+tH1zKeqL9qf1ZfvTthdlinpSiWEwfFS8j8n4gGbcrLej1bknc3bb6UWlpblAMyUqXtPxkeyNuR4EQodytNJrETetWhwdRVn/QFFTGAmfQr+cTSWPnNEWTdQZ4XLsFte0OmsbdDp9AWdMGwnXuUTlh8E3Ea1aKh3HoHwM/XJmJ2wi1q8ZN+mtaJX2iIVrpbm5ICnqqprGePRCdoHtRzB8PEeF523i3HaTvX1Dpc8S5VtaVTASOS0yZBZU/tcZ0WzfKa4F9bbNBQtip+ND6BNFEw8jmY5qxmus7uyNNx9cUgdMTCWnPOE6l6j8MPgmojUjJy9mqyb3IiD7EU1d2k+4AW5pLkXdapSWfM6EEsNLQ09jOj6ESkszrm9+D8wG6xXPxWmqh8fZvaK5ENHyZHreHxa1I2YSo5pxq6FCVFH3OH2QTLXLet5YKoIDgc9jJj6CCksj9rrvg9V4+aJvc3PxZ+cycslcnHBnz22vZC5EV4rrXKLyk7fg+8KFC/irv/or/OhHP8Lw8DBcLhfuuOMO/Nmf/RnMZvOynoMXJaLSpd1t7kEwnKuf8DYRAOfqJ/zc+X04M/UqDPq5Ik9K2oBtVVfjls0Pah6bSscRDB/PLrB7inYXnqjcqKqK6cTwvBZ9q9tt/sapj2MofH7B9aDZsRm/1/6Y+Fop7cJTaVqLNS7AdS5ROTLm64lPnDiBdDqNL33pS9i2bRuOHDmCu+++G+FwGP/n//yffL0sERUJnU6PevsW1Nu34OqG38l5zno4cgrDkVP49cg3Ljln7cPPgk/h3PSvcWz6GhwI3o5gxAOXvR97Xd+EXvdrfPfcZ/C65neX/Plzoo1Op9OhytKMKkszuuremvOc9cVYABdjAfjHv5vznPW/nf4ERiJnFrkeHMTXTn4EXXX/PRvcH0JcCWvmUGVpQVuRnz+n0sE1LhGt1rqmnT/22GN44okncO7cuWU9nncEiTYubYVxP2KX9BNW0gYcm+7GV049CBVzu1I6pHFX+z7sruzR7IABgGSq1aSSl2LldaJyE0uFEJAPiRtpcnJcM27WORFVIiu6HsyvvO52elFhbli390PlaaVrXIDrXKJylLed71ymp6dRU7N4W454PI54PC7+PDMzs+hjiai0Oc112F37ZuyuffOC3trB8DEY9AoOBG/XLLQBQIUeB4K3YU/1QeigzwbbG7PnOFE5sBqd2F51PbZXXZ+zt3YiHYJBjyWvBxa9hO6Gt2/InuNU/JZa4wJc5xIRsG6HnM6ePYsvfOEL+OM//uNFH7Nv3z5UVlaK/9xu93pNj4gKSK8zoNG+Ha9p/F3ctu2v0erYAwAIRjw5Hz8UaQMAVJqbcWPr++GrvxU1VjcDb6ISp9PpUG1tgbf+bbix5R5c3/xeGJE5/73U9cBicOKahtvZrYDW3XLWuADXuUS0iuD7oYcegk6nu+x/Bw8e1HxPMBjEW97yFvzu7/4u7rrrrkWf+8EHH8T09LT4LxAIrPwdEVHJq7K2AgBc9v6c4832PgDAVGIQXz1+D/7pxAfx08Gv4PzMK0go0ZzfQ0TFLaFEcX7mIF4c/Ar++cSfYP/xu/GTwX9ACpmdwqWuBzPJITx17H/hQP//xcnJFxFJTq3X1GmDyOcaF+A6l4hWceZ7fHwc4+Pjl33Mpk2bYLVmWgEFg0HcdNNNuO6667B//37o9cuP93kWhqg8JZQYHj90x6JnPO9u34ddlT1wObZgNHo2RyXjHaJnd4NtCysZExUhVU1jLHpeHDcZiuTuiOCydeKVsW8vcT34Dcx6AxQkNa9Rb9sCt5Q5luJy7GLRRbqs9VzjAlznEpWjvBZcGxwcxE033YSrr74a//zP/wyDYWVpYLwoEZWv587vw7npX+PI1DU4ELwNQ5E2NNv7sNf1DDqrDmJL5bW4ZfODK+vhK3khmesK9I6ISE5OIBDqzf577UVM0Z55dZrqNUUTrUYJQKbN2EjkzKLXg0b7Nty27a8xFD4heouPxy5ontuot6DF0ckaEbQmrnSNC3CdS1SO8hZ8B4NB3HDDDfB4PHj66ac1F6WmpqZlPQcvSkTlbSV9vmdNx4fQd7l+wha3qIDc4uiAyWDN63sgKmfJdBxB+VgmIJb9uBjTptma9Fa0SntEW7FKc/OiAfFy+3zPCicnEZB7Rb/vSGpKM57pjuCDW/LB7exidwRatrVY4wJc5xKVo7wF3/v378f73ve+nGPLfUlelIgoocTw0tDTmI4PodLSjOub3wPzMgPmXP2EL01Rdzl2ZXfFfaizbWKKOtEVUFUV47ELmTaCoV4Ew8egqPNTwXVosG3NBtvdaHK0w6BbfuOVWCqCA4HPYyY+ggpLI/a674PVaF/WvCZifZqOCovPy4cmeztT1GlRa7HGBbjOJSpH69rne6V4USKitRRLhTQp6qHkmGbcZqyER/Jmz4t74TBdvm0MEWV3mEO96Jf9CIR6F9lhnkslL4YdZrEjL/sRCPkxEdMWc5vdkZ+9FlSZXUxRpzXHdS5R+WHwTURlKVc/4WQ6pnlMrbVN7IS5HLtg1FsKNFui4pFKJxAMH8/ubi9+trrN6YPb6UO1paXoA1c5eVHs1gdkP6KpXGfRM7v188+iE10JrnOJyg+DbyIiAEo6ieHISVEIajR6FsDc5dGgM8Hl2C128GqtnqIPKIjWgqqquBjrF8c3BuWjUNSE5jH1ti3iRlWzfWdJp2yrahrj0QvoC/UgIPsRDOeuwu6el6LOvuK0GlznEpUfBt9ERDlEUzMIhA5lC0X1Ipyc0IzbjdWiarJb8sJuqirMRInyIJqazv7+Z3a3w6mLmnGHsUYE25liZZUFmmn+JZUYBsNHxc9iMj6gGTfr7dqicZblF9yi8sZ1LlH5YfBNRLQEVVUxGR8Qi+9B+QhSl+z81Vk3a1LUS3nnj8qPkk5iKHJC/I6PRc9pxg06M1qkjuwNp27UWNxlm/kRSoxnUtTlTBX1mCJrxivNTdmbEj60Sp2wGBwFmikVO65zicoPg28iohVKpRPZfsKzZ17Pa8aNOjNapE4RjLOfMBWbzA2lQQRCfvSF/BgMH0EqHdc8ps66SQSRmZoH5gLNtnilVQVj0XPiWjAcPok05lqh6aBHk71dXAsa7NuYok4C17lE5YfBNxHRFYokp7L9hDNnYiOpSc24w1QLj+QV/cWLodozlZ9oakZT7V9OjmvG7cYqUd3bLXnhMFUXaKalK6FEMSgfEYUcp+JBzbjF4IBb6hLnxSvMDQWaKRUDrnOJyg+DbyKiNZTpJ9yP/lCmhdFg+Nglxalm+wl7s8WadjBFnfIiU0TwlAi2Fy8imGmvV2dtY5/7NTYdHxE35gbkQ4grYc14lcUFj5QJxFukTpgNtgLNlAqB61yi8sPgm4goj1LpOILh4yIAmoj1acZNemsmRT27AK+ysJ8wrY6qqphODInftQH5cI72eZ7Mrqvkg0vaDRPb562btKpgNHJmLkU9cgoq0mJcrzOi2b5D7IrX2zYzRX2D4zqXqPww+CYiWkeZfsK92YJNl+sn7Mv2E3YWaKZUCmIpWaSSB2Q/ZhKjmnGroWKuKr/TC8lUW6CZ0qXiSlhzDGAmMaIZtxqccDu94siKZK4r0EwpX7jOJSo/DL6JiApEVdMYj/WJxXcwfGxBP+EG+7ZM8CT50Ohoh0FnLOCMqdDSqoKRyGnxOzMSOb1g99Tl2Am3NLd7ylTy0jAdH0J/qDd7I+UQkumoZrza0oo2ZzfcTi9aHB0wGawFmimtFa5zicoPg28ioiIx2084kF2AX4wHNOMmvQ2t0h60ObvhcXpRaWku0ExpPU3Hh0UBr4HQYSTSEc14taV1Xpu73Tw3vAEoaip7k6UH/aFejEbO5LjJsivz9y75UGfbxJssJYjrXKLyw+CbiKhIyYlx9GeLNQVCvYgpIc14hblRk6LOfsIbQ0KJaNKRpxPDmnGrQUJrNhXZ4/TCaa4v0ExpvcRSIc3vRCg5phm3GStEtoPH6YXDVFOgmdJKcJ1LVH4YfBMRlQBVTWM02084EPJjKHwiZz9ht9OHNvYTLimZQlxn0S/P9YrW7HLCgCbHDnGjpd62hX+3ZUxVVUwlgujP1o7IXVivbV42xC4YWVivKHGdS1R+GHwTEZWghBLFYPiIOCM6FR/UjFsMDrRKXWIBzn7CxWUmMZo9XtCDgHwYcUXWjFeZm0XV61ZpD1PJaVGZlnIns7vivZdpKZf5faq1trGjQpHgOpeo/DD4JiLaAOaCuUyxJgZzxWWpmyVmvT1T2drpg1vyotLSWKCZUqmLpmYQCB1CQPajL+RHODmhGbcbq+cq4Ete2E1VhZkocZ1LVIYYfBMRbTBMYy68BccEIicXVLJvsreLvwMeE6B8UFUVk/EBcVZ8UD6ClJrQPKbOulmTom7Qmwo02/Izu84FpgFwnVtsijdColLG4JuIaIOLK2EMykdEWup0Ykgzri3g5YOT/YRXhQXyqNgp6SSC4ePZDJlejEXPacaNOjNapE7xe1ptaWWKeh4x+C5uxRshUSlj8E1EVGaWbl3Vkl18d7Of8GUspzWcW5y7Z2s4Kj6R5BQC8iHR0iySmtSMO0y18GRvzLmdXtiMXIutJQbfxa14IyQqZQy+iYjKWFpVsv2EM2mpI5HTOfoJ7xRtjOptm8u2n7CqpjEe68v+rHoQDB9fkEreYN+WOU8r+dDoaIdBZyzgjImWT1VVTMT6xVGJwfAxKJoUdR0abFtER4Um+w6mqF8hBt/FrXgjJCplDL6JiEiIK2EEQodEgHlpP2GroWKuWJPTB2mD9xMOJy+Klk79ci+iqWnNuNNUr0kltxqdBZop0dpKpeMiRb0/5MdErE8zbtJbMynq2RtzVRYXU9RXiMF3cctHhPTQQw/h4Ycf1nytsbERw8PDa/9iVJQYfBMRUU6qqmI6MSQW37n7CXsyVdQlH1zSbphKvJ/wigKOCh+qzAw4qDws50bUXMX+Lt6IWgYG38UtX8H3N7/5Tfzwhz8UXzMYDKivr1/7F6OixOCbiIiWRVFTGA6fyi6+/RiJnEHufsJeuJ0+1Fk3FX1gurxU261it5+ptkSXHsHwIxg+xiMYq8Dgu7jlK/h+9tln4ff71/7JqSQw+CYiolWJpmYwIB8WC3A5Oa4Ztxursr3FvXBLXjhM1QWaqVamyNRcVfJwjiJTbU4f3JIPbmcXi0wRLSGZjiMoHxXXglzFB1ulPeKIRhWLDwJg8F3s8hV8P/bYY6isrITFYsF1112Hz3zmM9iyZcvavxgVJQbfRER0xTL9hAczu+IhPwbCR5BKxzWPqbNuEmfFXY5dMOrN6zI3tlciWl9su7c8DL6LWz4ipOeffx6RSATt7e0YGRnBI488ghMnTuDo0aOora1d+xekosPgm4iI1pySTmIocjLbwsi/IOA16MxokTqy6dzdqLG4LxvwJpQYXhp6GtPxIVRamnF983tgXqQFWuZGwIDYhRuUjyClSSUH6m1b4M62UHI5djGVnChPVDWNseh58e9xKHJiQYp6k71dZMk02rdDrzMs+nypdAKHJ36Amfgwbmi9ez3eQt4w+C5u6xEhhcNhbN26FQ888ADuv//+/L8gFRyDbyIiyrtoanpeFXU/wqmLmnGHsUbshGVSvSvF2HPn9+HM1Ksw6BXxNSVtwLaqq3HL5gezzz+DQOgQAvJsCvyE5vntxmoR6LulLthNVfl7s0S0qIQSxWD4CPpDmZ3xqfigZtxicKBV6hLXgwpzgxj7efCreHX0e9DrkgCAD3m/ta5zX2sMvovbekVIe/fuxbZt2/DEE0+szwtSQTH4JiKidaWqKi7GA3PFmuSjOXemPU4fBuVjGAqfwJGpa3AgeDuCEQ9c9n7sdX0TnVUHUWVphsXgwGj0LLTF38xocezO7qb5UGv1MJWcqAjNJEYRyAbiAfkQ4oqsGa8yN8Pt9EFOTuDc9K8114L4XbYCzXptMPgubusRIcXjcWzduhXvf//78Rd/8Rf5f0EqOAbfRERUUKl0AsHwcXFefDx2QYwpaQOOTXfjK6cehAq9+LoOadzVvg+7K3vEjnittU3slmXOlJd22zOicpNWFYxGzqI/m8EyHD4JFWkAgJLW4/j0VfjyvGuB+v5CzvbKMfgubvmIkP70T/8Ut956KzweD0ZHR/HII4/gpz/9KQ4fPoy2tra1f0EqOuz7QEREBWXUm7Mp4V5cjzsRTk4iIPfi10P/julkEAeCt2sCbwBQoceB4G3YU30QrY49uLntI3CYagr0DohoLeh1BjQ52tHkaMe1jf8DCSWCAfkwDo78B0aip/BCjmsBUSkZGBjAH/zBH2B8fBz19fV47Wtfi1/+8pcMvMsIg28iIioqDlM1dlbfiBMXf4rpZBDBiCfn44YimcXKSOQMDo0/D4+zG03sJ0xU8lRVxcS8PuIj0dMAsOi1gKhUfP3rXy/0FKjAuEIhIqKiVGlpRkD2w2XvxwV5x4LxZnsfACCpRnFw9Js4OPpNmPRWTT/hSnMzz3oTlYBIcgoBuRd92fZkkdTkgscsdi0gIioVDL6JiKgoXd/8HvSOvYC9rm/mPPO91/UMlLQBv+W+G8HwMQRkP6KpGZyfeQXnZ14BAFSYG+CW5qqol2s/YaJik0onMBQ+IXa3x2PnNeNGvQUtjk54nF64HJ3411OfyHktICIqJQy+iYioKJkNVmyruhp63a9xV/s+HAjehqFIG5rtfdjregadVQexpfJa7Kn7beyp+22oahrj0QvoC/UgIPsRDJ/ATGIURy++gKMXX4AOejTat4td8aX6CRPR2llulwO35EVbRTea7Tth0JvE2NUNb4MOz2quBUBpVzsnovLDaudERFTUltPnO5ekEsNg+KhY7E/GBzTjZr0drc498GR3xistTXl7D0TlKJqaEW3E+uVehJMTmnGHsVq0A3RLXbCbqi77fOzzTeupeCMkKmUMvomIqOgllBheGnoa0/EhVFqacX3ze2A2WFf0HKHEeKadmdyLQMiP2CX9hCvNTWJXvFXaA7PBvpZvgWjDU9JJDEVOZnp2h/wYjZ4DMLfMNOjMaJE6Mt0NJB9qrJ4V12RIpRM4PPEDzMSHcUPr3Wv8DtYXg+/iVrwREpUyBt9ERFR20qqCseg5sSs+HD6JNOZ21nXQo8mxIxOMSz402LcyRZ3oEqqqYioezP476sFg+CiS6ZjmMbXWTdlWgj64HLth1JsLNNviw+C7uBVvhESljME3ERGVvYQSxaB8JJse68dUPKgZtxgkuKU98Di74XZ6UWFuKNBMiQorlgohIB/K7m73IpQc04zbjJXippXb2QWHqaZAMy1+DL6LW/FGSFTKGHwTERFdYjo+goCcOas6IB9CXAlrxqssLdkUdS9aHJ0wG1j4iTYmRU1hOHwqe2TDj5HIGcxPJdfrjHA5dosjG3XWNuh0rEa+HAy+i1vxRkhUyhh8ExERXUZaVTAaOTOXoh45BRVpMa7XGdFs3wG304c2ZzfqbZsZfFDJUlUV04lh8fs+IB9GMh3VPKbG6haFCl1SB0x6S4FmW9oYfBe34o2QqJQx+CYiIlqBuBLGgHxYBCcziRHNuNXghDt7xtUjeSGZ6wo0U6LliSthBEKHEJD96A/1Lvo73ZY9diGZags0042FwXdxK94IiUoZg28iIqIrMB0fQn+2nVJAPrRwl9DizrRScnrR4uiAaYVV2onWWlpVMBI5jf5QpvJ/7myOnSKVnNkc+cHgu7gVb4REpYzBNxER0RpR1FQ2qOlBf6gXo5EzC4Iano+lQsjUMfBnC6UdQiId0YxXZ+sYuJ0+tDg6WMdgHTD4Lm7FGyFRKWPwTURElCexVEiTop6zMrTkhTtbvI2VoWmtJJQIBrIV/AMhP6YSQ5rxTAX/LnEjyGmuL9BMyxeD7+JWvBESlTIG30REROtAVVVMJYIi1TdTyOrSnshtIhhyOXbByEJWtExpVcFo9CwC2SMQl/au18Mgete7nV402Ni7vtC4ziUqPwy+iYiICkBJJzEcOZndFe/FaPQs5rdwMujMaPn/27v34Kjr+9/jr71kN5fdhEAISciFcAtySyi0iFWx0mqpdurRXxXHQ7G2Vjraau05Vuwf4EznB62Onba2WluPtacztVMjnraOI3QU6EVa0SSEiyDlkkAC4ZZkd5Nskt3P+SPhqyuBXGD3u8k+HzPfGdjPd3ff33y/yb7f+/l8P5+s2f294lWakF4qh8NhX8BIOoHuk9aoisbgToUjwZj2HE+h9WVOsW+uPK5MmyLFQMhzgdRD8Q0AQBLo7G23Zpw+EqhVqOd0THuWO7d/FvUFKvHNV2baOHsChW26I506Ftrdt+Z2oFZnw8di2j3OTJX4+4aSl/gqleMtsClSDAV5LpB6KL4BAEgyxhidDR+1ejWPBXep13TH7DMxY6pKfJXWEHWXM82maBEvxkR1svOQdR00d7yvqOm12h1yqiBzpjVnwKTMGQwlH0XIc4HUQ/ENAECSi0R71BTa2z+8uE4nOw/GtLudXk3OmmMNMc71FjNEfZQK9py27ttuCNSpK9Ie057tye/v2a5SiX++vK4smyLFpSLPBVIPxTcAAKNMR0+rGoM7rSXNOnrPxrT70ibEFGgZbj5Dk1VPNKym4O6+YjtYqzNdjTHtac4MFfvmWV+s5HgK+GJljCDPBVIPxTcAAKOYMUanuxqsJaWOhfYoEjNE3aH8jGkq9fcNUS/IrGCIuo2MiepU1xE1Bvru7W8K7YkZSi45NClzukp9fcX2pKyZcjnctsWL+CHPBVIPxTcAAGNIbzRsDVFvCNTqdNeRmPY0Z7om++aq1L9Apf5KjfMU0ZMaZ6Ges31DyYO1agzUqaO3Nabdl5Zn9WyX+OYr3e23J1AkFHkukHoovgEAGMNCPWestcUbgnXq7G2LafenTfzIclTzle722RTp2NEb7e7/AqTvtoDTXYdj2q0vQPp7t8d5+QIkFZHnAqmH4hsAgBRxbsjzuV7xjw95dsip/Mzp/UPUF2hS5gyGPA+BMUZnuhrUEOybJO1YcPcAQ/+nWmu2FzL0HyLPBVIRxTcAACmqJ9LVv2503+zaZ8Kxk315nJkfmeyrUjneQpsiTT6dvW1q6P+5NQZqFfrYpHdZ7vEfDiX3z1eGO8emSJGsyHOB1EPxDQAAJEnB7lNqCJ4rKOvUFQnEtGd7Jn1kiPq8lFrmKhLtUXPH+9aogfOWe3N4VOT7cLm38d4ShpLjoshzgdRD8Q0AAM5jTFQnOw/pSKBGjYFaNYfeV1QRq90hpwoyZ1rFZn7mdDkdLhsjvryMMTobPmqtt30stEu90XDMPnnp5dbxF2bNktvpsSlajEbkuUDqofgGAACD6o506lholzXUujV8LKbd68pSsW++VYxme/JtinTkOnvbdTRY3z9RWq2CPadj2jPd41Tir1KZv0olvkplpo2zJ1CMCeS5QOqh+AYAAMPW3t1i3SveGNypcCQY0z7OU9i/nFmVJvvmyuPKsCnSC4tEe3S8Y781lLyl8z+SPkyLXI40FWXNtr5QmJBexlByXDbkuUDqofgGAACXJGoiaun4T/9s37U6Htono6jV7pRLBVkVVhE7MWOqLUPUjTFq7W6yll47GqxXT7QrZp8J6WVWnEVZV8jt9CY8TqQG8lwg9VB8AwCAyyocCelYcJd1v3Rbd3NMe7rLp2JfZd/wbX+V/J68Ib1ud6RL/2j+rdrCzcrxFurThV+Rx5V+0ed09Qb7h5LXqjFYq/bulpj2DHe2Snx9s7mX+KvkSxs/vIMFRog8F0g9CSm+w+GwFi9erLq6OtXU1KiqqmpIz+OPEgAAo19b+HhfIR6s1dFAvbqjHTHtud5iq7d5ctYcpQ1QUP/l0HodaH1XLueHk75Foi5NH7dQN5evsR6Lmog1lLwxUKsTHQdie+EdbhVlXdH3fr4q5WVMkcPhjMNRIxWMNMeVyHOBVOROxJs88sgjKioqUl1dXSLeDgAAJJEcb4HmeT+veXmfV9REdKLjA+s+6xMdH+hs+KjOho+q7tRf+ovjWf290VWamFGu1w7/UAfb/q09bYu0uem/1NRRqqLMBn2u6GU5Hf/WxgNrNX3ckksq7oGRIMcFMBxx7/l+/fXX9fDDD6u6ulpz5syh5xsAAFg+Oiy8IVCjQM/JmHaPI0udkS7taVugX+9fI6MPe6kdiurrM9drdk5NTI94usunEn+VSn2VwxrWDgzHpeS4EnkukIri2vN94sQJ3XvvvXr11VeVmZk56P7hcFjh8IdraLa3t8czPAAAYLN0t0/Txy3R9HFLZIxRW3ez1St+NFiv7mhILqe0uem/YgpvSTJyanPTbZqXu0OZrlzNn/gFq7d8LK05juQz3BxXIs8FIMXtJidjjO6++26tXr1aixYtGtJz1q9fr5ycHGsrKSmJV3gAACDJOBwOjfMWaX7eF3Rz+WO6d+7/VX7GdElSU0fpgM9p7iiTJGV78rUo/zZNypxO4Y24GkmOK5HnAhhB8b1u3To5HI6Lbjt27NDPfvYztbe3a82aNYO/aL81a9aora3N2hobG4cbHgAAGCNcDrfyM2dIkooyGwbcpzDziCTpeOc+/Z8992hTw0/0/tkt6uhpTVSYGCPimeNK5LkARnDP96lTp3Tq1KmL7jNlyhStWLFCf/7zn+VwOKzHI5GIXC6X7rrrLr344ouDvhf3wgAAkNq6I136xc7/ecF7vu+duV5X5NTI43Qpou6Y5+alT1Fp/3JmfWt2exIdPkaRROa4EnkukIriNuFaQ0NDzL0sTU1NuvHGG/Xyyy9r8eLFKi4uHvQ1+KMEAAD+cmi9Drb9W7taF2lz021q7ihTYeYRfa6oWnPH7dDUnE9pedn/UnPHPjUEatQQqNXJzoMxr+F2eFTkm2PNej7eWxJTPAFDdTlyXIk8F0hFCVnnW5IOHz6s8vJyZjsHAADDNtR1vs/p7G1TY2CnNXlbqPdMTHuWe7xViJf45yvDnRP3Y8DYNJIcVyLPBVJRQtb5BgAAuBQ3l69Rd6RL/2j+rdrCzcrxFurThV+R5wJrdme4czQz9xrNzL1GxhidCTdahXhTcLdCvWe09+yb2nv2TUnSxIypKvUvUKm/SoWZFXI50xJ5eACAFJCwnu+R4BtBAABwufVGu9UU2qvG/mL8VNfhmPY0Z7omZ82x7hfP9U5miDouO/JcIPVQfAMAgJQW6jmrxmCdGgJ1agzUqqO3Nabdl5ZnDVEv9s1ThpucBJeOPBdIPRTfAAAA/YwxOt11pH/itjo1hfYoYno+sodDkzKnq9TX1ytekDVTLgd38WH4yHOB1EPxDQAAcAE90bCagnvUEKxVY6BWp7ti1xtPc2ao2DfX6hnP8RQyRB1DQp4LpB6KbwAAgCEK9pxWY6BviHpDoFZdkfaY9mxPvkp8H86i7nVl2RQpkh15LpB6KL4BAABGwJioTnYeUkOgVo3BWjWF3lfU9FrtDjk1KXOG1Ss+KXOGnA6XjREjmZDnAqmH4hsAAOAy6I50qim0x1rS7Gz4aEy7x5mpYv88lfkXqMRXpRzvJJsiRTIgzwVSD8U3AABAHAS6T1rD048G69QVCca053gKVeqvtGZR97gybYoUdiDPBVIPxTcAAECcRU1EJzsPWr3ix0P7FFXEanfIqYKsir4h6r4q5WdOY4j6GEeeC6Qeim8AAIAE64506miwvu9+8UCtWrubY9q9Lp9KfPNU6l+gUn+V/J6JNkWKeCHPBVIPxTcAAIDN2sIn1Bis6y/G69Qd7YhpH+ed3D9xW6UmZ82Vx5VhU6S4XMhzgdRD8Q0AAJBEoiailo4DHw5R79gvo6jV7nS4VZhZoRJ/lcr8CzQxo1wOh9PGiDES5LlA6qH4BgAASGLhSMgaot4QqFV794mY9nSXXyX9E7eV+irl8+TZFCmGgzwXSD0U3wAAAKNIW7jZmkW9MbhTPdHOmPbx3hKV+qtU4q/UZN9cpTm9NkWKiyHPBVIPxTcAAMAoFTG9OhHar4ZgrRoCdWrpOHDeEPWirNn994tXKS+9jCHqSYI8F0g9FN8AAABjRFdvIGaIeqDnZEx7hjtHpb5KlfRP3paVNt6mSEGeC6Qeim8AAIAxyBij1u4mNbTXqiFYq2PBXeqJdsXsMyG9zOoVL8q6Qm6GqCfMuTxXapN0efLc5M3qAUgU3wAAACkhEu3R8Y59/b3idWrp/I+kD9NAl8OjyVmz+3vFqzQhvVQOh8O+gMc4im8g9VB8AwAApKDO3nY1BnaqIVCjhmCdQj2nY9qz3LnWLOolvkplpo2zJ9AxiuIbSD0U3wAAACnOGKOz4aPWveLHgrvUa7pj9pmYMVUlvkpriLrLmWZTtGMDxTeQeii+AQAAECMS7VFTaK9VjJ/qOhTT7nZ6NTlrjnW/eK63mCHqwzTaiu9t27bpiSee0Lvvvqvm5mZt3LhRt9xyS/zeEBiD3HYHAAAAgOTicqapxD9fJf75+rS+oo6eVjUG66z7xTt6z+pI4D0dCbwnSfKlTegfnl6lEv98ZbjpNBlrQqGQKisr9dWvflW33Xab3eEAoxI93wAAABgyY4xOdzWoIVCrxkCtjoX2KBIzRN2h/IxpKu2/X7wgs4Ih6gMYbT3fH+VwOOj5BkaAnm8AAAAMmcPhUF5GmfIyyvSJ/C+pNxqOGaJ+uuuIWjoPqKXzgHa0VCvNma7Jvrkq9S9Qqb9S4zxFDFEHkJIovgEAADBibqfXuvdbkoI9Z9QYqFNjoG998c7edh1u36HD7TskSf60idb+xb75Snf7bIweABKH4hsAAACXjS9tvK4Y/xldMf4zMiaqU11HrF7xptAeBXpOaveZzdp9ZrMccio/c3rfEHVflSZlzZTLceH0NGoiagrtVUfPWc3MvSaBRwUAl47iGwAAAHHhcDg1MaNcEzPKtTD/f6gn0qVjod1qDPRN3nYm3KgTHft1omO/3jnxR3mcmSr2zevvGa9UjrfQeq0DrW9ry7HfqLO3RZIovgGMOhTfAAAASIg0V7qmZC/UlOyFkqRg9yk19M+i3hioU1ckoIPt/9LB9n9JkrI9k1Tqr5LHmaH3Tv4/7Tq7SJuaHlZTR6m+VWnnkQDA8FF8AwAAwBY+T55mj1+m2eOXyZioWjoPWrOoN4feV3v3Ce06/YYiUaf2ti3Ur/Y/KiOn3WGnpGAwqAMHDlj/P3TokGprazV+/HiVlpbaGBkwerDUGAAAAJJOd6RTx0K7tOf0mzrYvl1P7d6gw8EKq918w8bgLoPRttTYli1b9JnPfOa8x1etWqXf/OY38XtjYAyh5xsAAABJx+PKUHn2J9UT6dLB9u1q6qB31U7XXXedkrjPDhgVGLcDAACApJWZlitJKspssDkSALg0FN8AAABIWkVZVyjDna8biqrlUNTucABgxCi+AQAAkLScDpeum3y35ubu0L0zN2iK7315nZ12hwUAw8Y93wAAAEhq08ct0XL9b2W4f6O5uWv6H91oa0wAMFwU3wAAAEh608ct0dScT6kptFcdPWftDgcAho3iGwAAAKOC0+FSsW+u3WEAwIhwzzcAAAAAAHFG8Q0AAAAAQJxRfAMAAAAAEGcU3wAAAAAAxBnFNwAAAAAAcUbxDQAAAABAnFF8AwAAAAAQZ6zzDQAAANikrU3KzrY7CgCJQM83AAAAAABxRvENAAAAAECcUXwDAAAAABBnFN8AAAAAAMQZxTcAAAAAAHFG8Q0AAAAAQJxRfAMAAAAAEGcU3wAAAAAAxBnFNwAAAAAAcUbxDQAAAABAnFF8AwAAAAAQZxTfAAAAAADEGcU3AAAAAABxRvENAAAAAECcUXwDAAAAABBnFN8AAAAAAMRZ3Ivv1157TYsXL1ZGRoby8vJ06623xvstAQAAgLgixwUwXO54vnh1dbXuvfde/fd//7euv/56GWNUX18fz7cEAAAA4oocF8BIOIwxJh4v3NvbqylTpujxxx/X1772tRG9Rnt7u3JyctTW1qbs7OzLHCEAAAAwPJcjx5XIc4FUFLee7/fee0/Hjh2T0+nUggULdPz4cVVVVenJJ5/UnDlzBnxOOBxWOBy2/t/W1iap748TAAAAcI7f75fD4Uj4+44kx5XIcwE72PV34oJMnPz+9783kkxpaal5+eWXzY4dO8ydd95pJkyYYE6fPj3gc9auXWsksbGxsbGxsbGxsV10a2lpiVcae1EjyXGNIc9lY7Nja2trS+Bfh8ENe9j5unXr9Pjjj190n3feeUf79+/XXXfdpV/+8pf6xje+IanvG7/i4mL94Ac/0H333Xfe8z7+jWBra6vKysrU0NCgnJyc4YSJMaS9vV0lJSVqbGxkWFaK4hqAxHWAPlwHOHcNtLa2Xtb8MJ457rl9xmqeO9Z+L8fS8YylY5GGfzzJ1vM97GHnDzzwgFasWHHRfaZMmaJAICBJmj17tvW41+vV1KlT1dDQMODzvF6vvF7veY/n5OSMiYsFlyY7O5vrIMVxDUDiOkAfrgNc7oQ6njnuuX3Gep471n4vx9LxjKVjkUbv8Qy7+M7Ly1NeXt6g+y1cuFBer1f79u3T1VdfLUnq6enR4cOHVVZWNvxIAQAAgDghxwUQb3GbcC07O1urV6/W2rVrVVJSorKyMj3xxBOSpC9/+cvxelsAAAAgbshxAYxUXNf5fuKJJ+R2u7Vy5Up1dnZq8eLFevPNN5Wbmzuk53u9Xq1du3bAITpIHVwH4BqAxHWAPlwHSIZr4FJzXCk5juNyGUvHIo2t4xlLxyKN/uOJ2zrfAAAAAACgj9PuAAAAAAAAGOsovgEAAAAAiDOKbwAAAAAA4oziGwAAAACAOEvq4vsXv/iFysvLlZ6eroULF+pvf/ub3SEhgbZt26YvfvGLKioqksPh0Kuvvmp3SEiw9evX65Of/KT8fr/y8/N1yy23aN++fXaHhQR75plnNH/+fGVnZys7O1tLlizR66+/bndYsNH69evlcDj00EMP2R0KEmjdunVyOBwxW0FBgd1hXdRwc9mtW7dq4cKFSk9P19SpU/Xss88mKNILG8ln8ZYtW847Vw6HQ++//36Cor6wkVxHyXheJGnKlCkD/pzvv//+AfdPtvMyWK5vjNG6detUVFSkjIwMXXfdddq9e/egr1tdXa3Zs2fL6/Vq9uzZ2rhxY5yOYPiStvj+wx/+oIceekjf//73VVNTo2uuuUbLly9XQ0OD3aEhQUKhkCorK/X000/bHQpssnXrVt1///3avn27Nm/erN7eXt1www0KhUJ2h4YEKi4u1oYNG7Rjxw7t2LFD119/vb70pS8N6QMYY88777yj5557TvPnz7c7FNhgzpw5am5utrb6+nq7Q7qg4eayhw4d0he+8AVdc801qqmp0WOPPaZvf/vbqq6uTnDksS7ls3jfvn0x52vGjBkJiHhww7mOkvW8SH1/Dz96HJs3b5Y0+HrzyXJeBsv1f/SjH+mpp57S008/rXfeeUcFBQX63Oc+p0AgcMHXfPvtt3XHHXdo5cqVqqur08qVK3X77bfrX//6V7wOY3hMkvrUpz5lVq9eHfPYrFmzzKOPPmpTRLCTJLNx40a7w4DNWlpajCSzdetWu0OBzXJzc82vf/1ru8NAggUCATNjxgyzefNms3TpUvPggw/aHRISaO3ataaystLuMIZsuLnsI488YmbNmhXz2H333WeuvPLKuMU4EkP5LH7rrbeMJHP27NnEBTZEw72ORst5McaYBx980EybNs1Eo9EB25P5vHw8149Go6agoMBs2LDBeqyrq8vk5OSYZ5999oKvc/vtt5vPf/7zMY/deOONZsWKFZc95pFIyp7v7u5uvfvuu7rhhhtiHr/hhhv0z3/+06aoANitra1NkjR+/HibI4FdIpGIXnrpJYVCIS1ZssTucJBg999/v2666SZ99rOftTsU2OSDDz5QUVGRysvLtWLFCh08eNDukAY0klz27bffPm//G2+8UTt27FBPT0/cYh2u4XwWL1iwQIWFhVq2bJneeuuteIc2ZMO5jkbLeenu7tbvfvc73XPPPXI4HBfdN1nPy0cdOnRIx48fj/nZe71eLV269KL14IXOV7LUkElZfJ86dUqRSESTJk2KeXzSpEk6fvy4TVEBsJMxRg8//LCuvvpqzZ071+5wkGD19fXy+Xzyer1avXq1Nm7cqNmzZ9sdFhLopZde0nvvvaf169fbHQpssnjxYv32t7/VG2+8oV/96lc6fvy4rrrqKp0+fdru0M4zklz2+PHjA+7f29urU6dOxS3W4RjqZ3FhYaGee+45VVdX65VXXlFFRYWWLVumbdu2JTDagQ33OhoN50WSXn31VbW2turuu+++4D7JfF4+7tzvyXDrwQudr2SpId12B3AxH//Wxhgz6Dc5AMamBx54QDt37tTf//53u0OBDSoqKlRbW6vW1lZVV1dr1apV2rp1KwV4imhsbNSDDz6oTZs2KT093e5wYJPly5db/543b56WLFmiadOm6cUXX9TDDz9sY2QXNtxcdqD9B3rcLkP9LK6oqFBFRYX1/yVLlqixsVFPPvmkrr322niHeVEjuY6S/bxI0vPPP6/ly5erqKjogvsk83m5kJHUg8lcQyZlz3deXp5cLtd531C0tLSc900GgLHvW9/6lv70pz/prbfeUnFxsd3hwAYej0fTp0/XokWLtH79elVWVuonP/mJ3WEhQd599121tLRo4cKFcrvdcrvd2rp1q37605/K7XYrEonYHSJskJWVpXnz5umDDz6wO5TzjCSXLSgoGHB/t9utCRMmxC3WobrUz+Irr7wyKc/VYNdRsp8XSTpy5Ij++te/6utf//qwn5us5+XcDPTDrQcvdL6SpYZMyuLb4/Fo4cKF1ox952zevFlXXXWVTVEBSDRjjB544AG98sorevPNN1VeXm53SEgSxhiFw2G7w0CCLFu2TPX19aqtrbW2RYsW6a677lJtba1cLpfdIcIG4XBYe/fuVWFhod2hnGckueySJUvO23/Tpk1atGiR0tLS4hbrYC7XZ3FNTU1SnqvBrqNkPS8f9cILLyg/P1833XTTsJ+brOelvLxcBQUFMT/77u5ubd269aL14IXOV9LUkDZN9Daol156yaSlpZnnn3/e7Nmzxzz00EMmKyvLHD582O7QkCCBQMDU1NSYmpoaI8k89dRTpqamxhw5csTu0JAg3/zmN01OTo7ZsmWLaW5utraOjg67Q0MCrVmzxmzbts0cOnTI7Ny50zz22GPG6XSaTZs22R0abMRs56nnu9/9rtmyZYs5ePCg2b59u7n55puN3+9P2txwsFz20UcfNStXrrT2P3jwoMnMzDTf+c53zJ49e8zzzz9v0tLSzMsvv2zXIRhjhvZZ/PFj+fGPf2w2btxo9u/fb3bt2mUeffRRI8lUV1fbcQgxBruORst5OScSiZjS0lLzve9977y2ZD8vg+X6GzZsMDk5OeaVV14x9fX15s477zSFhYWmvb3deo2VK1fGrCDwj3/8w7hcLrNhwwazd+9es2HDBuN2u8327dsTfnwDSdri2xhjfv7zn5uysjLj8XjMJz7xCZYXSjHnlkP4+LZq1Sq7Q0OCDHT+JZkXXnjB7tCQQPfcc4/1WTBx4kSzbNkyCm9QfKegO+64wxQWFpq0tDRTVFRkbr31VrN79267w7qoi+Wyq1atMkuXLo3Zf8uWLWbBggXG4/GYKVOmmGeeeSbBEZ9vKJ/FHz+WH/7wh2batGkmPT3d5Obmmquvvtq89tpriQ9+AINdR6PlvJzzxhtvGElm375957Ul+3kZLNePRqNm7dq1pqCgwHi9XnPttdea+vr6mNdYunTpebXBH//4R1NRUWHS0tLMrFmzkuJLn3McxvTPGAAAAAAAAOIiKe/5BgAAAABgLKH4BgAAAAAgzii+AQAAAACIM4pvAAAAAADijOIbAAAAAIA4o/gGAAAAACDOKL4BAAAAAIgzim8AAAAAAOKM4hsAAAAAgDij+AYAAAAAIM4ovgEAAAAAiDOKbwAAAAAA4uz/Axbgsbfu0cEdAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 1000x500 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "n = 5\n",
    "fig, axes = plt.subplots(1, 2, figsize=(10, 5), gridspec_kw={'width_ratios': [3, 1]})\n",
    "build_binomial_tree(axes[0], n)\n",
    "plot_binomial_coefficients(axes[1], n)\n",
    "plt.tight_layout()\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ed758df6-bbc9-4a3b-8586-13ade915abfe",
   "metadata": {},
   "source": [
    "## 二叉树概率"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "342bb3e8-3046-491b-8eae-ecfe76d581ce",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x500 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "n = 5\n",
    "fig, axes = plt.subplots(1, 2, figsize=(10, 5), gridspec_kw={'width_ratios': [3, 1]})\n",
    "build_binomial_tree(axes[0], n)\n",
    "plot_binomial_probabilities(axes[1], n, 0.5)\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "f5d8bf36-e6bc-4314-a514-23bc7a9bc9d0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x500 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "n = 5\n",
    "fig, axes = plt.subplots(1, 2, figsize=(10, 5), gridspec_kw={'width_ratios': [3, 1]})\n",
    "build_binomial_tree(axes[0], n)\n",
    "plot_binomial_probabilities(axes[1], n, 0.6)\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "c878e446-465e-4469-aa23-768fd8722cdd",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x500 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "n = 5\n",
    "fig, axes = plt.subplots(1, 2, figsize=(10, 5), gridspec_kw={'width_ratios': [3, 1]})\n",
    "build_binomial_tree(axes[0], n)\n",
    "plot_binomial_probabilities(axes[1], n, 0.3)\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "0a298c9e-fb0d-4c86-837c-8b908d6ef98e",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "ecd322f4-f919-4be2-adc3-69d28ef25e69",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.12.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
